Let $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.
The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds.
This memoir considers the Dirichlet problem for parabolic operators in a half space with singular drift terms. Chapter I begins the study of a parabolic PDE modelled on the pullback of the heat equation in certain time varying domains considered by Lewis-Murray and Hofmann-Lewis. Chapter II obtains mutual absolute continuity of parabolic measure and Lebesgue measure on the boundary of this halfspace and also that the $L DEGREESq(R DEGREESn)$ Dirichlet problem for these PDEs has a solution when $q$ is large enough. Chapter III proves an analogue of a theorem of Fefferman, Kenig, and Pipher for certain parabolic PDEs with singular drift terms. Each of the chapters that comprise this memoir has its own numbering system and list
There is some connexion (I like the way the English spell it They’re so clever about some things Probably smarter generally than we are Although there is supposed to be something We have that they don’'t—'don’t ask me What it is. . . .) —John Ashbery, “Tenth Symphony” Something We Have That They Don’t presents a variety of essays on the relationship between British and American poetry since 1925. The essays collected here all explore some aspect of the rich and complex history of Anglo-American poetic relations of the last seventy years. Since the dawn of Modernism poets either side of the Atlantic have frequently inspired each other’s developments, from Frost’s galvanizing advice to Edward Thomas to rearrange his prose as verse, to Eliot’s and Auden’s enormous influence on the poetry of their adopted nations (“whichever Auden is,” Eliot once replied when asked if he were a British or an American poet, “I suppose, I must be the other”); from the impact of Charles Olson and other Black Mountain poets on J. H. Prynne and the Cambridge School, to the widespread influence of Frank O'Hara and Robert Lowell on a diverse range of contemporary British poets. Clark and Ford’s study aims to chart some of the currents of these ever-shifting relations. Poets discussed in these essays include John Ashbery, W. H. Auden, Elizabeth Bishop, T. S. Eliot, Mark Ford, Robert Graves, Thom Gunn, Lee Harwood, Geoffrey Hill, Michael Hofmann, Susan Howe, Robert Lowell, and W. B. Yeats. “Poetry and sovereignty,” Philip Larkin remarked in an interview of 1982, “are very primitive things”: these essays consider the ways in which even seemingly very “unprimitive” poetries can be seen as reflecting and engaging with issues of national sovereignty and self-interest, and in the process they pose a series of fascinating questions about the national narratives that currently dominate definitions of the British and American poetic traditions. This innovative and exciting new collection will be of great interest to students and scholars of British and American poetry and comparative literature.
This book addresses an increasingly important area in the construction industry. Case studies are used extensively to illustrate important points and refer to current successful safety management techniques.
Following on from the popular Herbs of the Northern Shaman, this latest collection, Herbs of the Southern Shaman, describes psychoactive herbs that grow in the southern hemisphere. Written primarily for herbalists, witches and pagans, occultists, healers, therapists, botanists and gardeners and featuring a bibliography and glossary, it serves as a reference book for anyone interested in shamanism and herbs. 'Concise, knowledgeable, clearly and distinctly written...can be enjoyed on many levels: as a reference book, a spiritual guide, a horticultural manual, or simply for entertainment.' C.J. Stone, author and journalist
This book is the holistic health road map for the interested, aware person in the twenty-first century. Following this path will allow you to take dynamic responsibility for your total wellness. Health maintenance, rapid disease recovery, personal development, leading to maximising lifespan - and of course, enjoyment. A journey of a thousand miles starts with one small step, so what are you waiting for?'Beginning with a gentle account of health philosophy and the failures of the western medical paradigm, Steve Kippax discusses nutrition, exercise and positive thinking and their practical application to health. However, it is when he moves on to Traditional Chinese Medicine that Stephen really lets us see the decades of hardwon clinical experience and the book illuminates parts of our nature, both physical and non physical, of which many of us are quite unaware. The practical implications of herbal medicine and homeopathy are well covered and the listing of common ailments shows the various appropriate complementary treatments. As Kippax says, integrated medicine is the synthesis of the best of complementary and orthodox medicine. Not only a practical text but a road map to a saner world, this book shows us how to take control in our lives.'- Dr Eric Asher, MBBS, FRACGH, FFHom'I am delighted to read my former student Steve Kippax's book. He studied Chinese medicine with me over twenty years ago, worked really hard, and has become an excellent Chinese Medicine practitioner in the West. His talent and deep understanding about health can be seen from this book.'- Prof Song Xuan Ke, Principal, Asante Academy of Chinese Medicine, London'I received some extremely effective herbal treatment from Steve which helped to restore my energy levels after an exhausting tour and enabled me to shake off a stomach bug. I always found him to be professional, approachable, helpful, and wise.'- Brett Anderson, lead singer with Suede
For over 2500 years many of the most learned scholars of the Greek language have concerned themselves with the topic of etymology. The most productive source of difficult, even inexplicable, words was Homer’s 28,000 verses of epic poetry. Steve Reece proposes an approach to elucidating the meanings of some of these difficult words that finds its inspiration primarily in Milman Parry’s oral-formulaic theory. He proposes that during the long period of oral transmission acoustic uncertainties, especially regarding word boundaries, were continually occurring: a bard uttered one collocation of words, but his audience thought it heard another. The consequent resegmentation of words and phrases is the probable cause of some of the etymologically inexplicable words in our Homeric texts.
In The Serpent's Promise, Steve Jones retells many of the Biblical tales in the light of modern science. Are we all descended from a real-life Adam and Eve? Are some—or all—of us marked with the molecular equivalent of original sin, and if so what can we do about it? Was the Bible's great flood a memory of the end of the Ice Age? And what can science tell us of the mystical experiences reported by the faithful, or of the origin of faith itself?Some people deny the power of religious belief, others the findings of science. In this groundbreaking work from one of our great science writers, Steve Jones explores how these mysteries often overlap. He steps aside from the noisy debate between believers and non-believers to show how the questions that preoccupy us today are those of biblical times—and that science offers many of the answers.At once brilliantly erudite and highly readable, The Serpent's Promise is a witty and thoughtful account of the greatest scientific story ever told.
Colin Brown's Christianity Western Thought, Volume 1: From the Ancient World to the Age of Enlightenment was widely embraced as a text in philosophy and theology courses around the world. His project was continued with the same spirit, energy and design by Steve Wilkens and Alan Padgett in volume 2, which explores the main intellectual streams of the nineteenth century. This, the third and final volume, also by Wilkens and Padgett, examines philosophers, ideas and movements in the twentieth century and how they have influenced Christian thought.
The story of New York Yankees owner Jacob Ruppert and manager Miller Huggins, who, from 1918 to 1929, partnered to build the Yankees to become and remain the nation's dominant sports franchise"--
Populism and nationalism in classical music held a significant place between the world wars with composers such as George Gershwin, Aaron Copland, and Leonard Bernstein creating a soundtrack to the lives of everyday Americans. While biographies of these individual composers exist, no single book has taken on this period as a direct contradiction to the modernist dichotomy between the music of Stravinsky and Schoenberg. In Nationalist and Populist Composers: Voices of the American People, Steve Schwartz offers an overdue correction to this distortion of the American classical music tradition by showing that not all composers of this era fall into either the Stravinsky or Schoenberg camps. Exploring the rise and decline of musical populism in the United States, Schwartz examines the major works of George Gershwin, Randall Thompson, Virgil Thomson, Aaron Copland, Roy Harris, Kurt Weill, Morton Gould, and Leonard Bernstein. Organized chronologically, chapters cover each composer’s life and career and then reveal how key works participated in populist and nationalist themes. Written for the both the scholar and amateur enthusiast interested in modern classical music and American social history, Nationalist and Populist Composers creates a contextual frame through which all audiences can better understand such works as Rhapsody in Blue, Appalachian Spring, and West Side Story.
This unique collection of thirteen fictional problems, particularly useful at the undergraduate level and geared to a semester's length, offers the teacher of archaeology an invaluable means of supplementing courses dealing largely in theory with practical exercises in archaeological problem-solving. The captivating, often witty problems are directed not to the discovery of one correct answer but to the encouragement of intelligent inquiry and analysis.
Auditory archaeology considers the potential contribution of everyday, mundane and unintentional sounds in the past and how these may have been significant to people. Steve Mills explores ways of examining evidence to identify intentionality with respect to the use of sound, drawing on perception psychology as well as soundscape and landscape studies of various kinds. His methodology provides a flexible and widely applicable set of elements that can be adapted for use in a broad range of archaeological and heritage contexts. The outputs of this research form the case studies of the Teleorman River Valley in Romania, Çatalhöyük in Turkey, and West Penwith, a historical site in the UK.This fascinating volume will help archaeologists and others studying human sensory experiences in the past and present.
Volume 1b in Brill's Josephus Project contains Book 2 of Josephus' Judean War (translation and commentary). This book deals with a period of enormous consequence: from King Herod's death (4 BCE) to the first phase of the war against Rome (66 CE). The commentary aims at a balance between historical and literary issues.
At the end of several of his letters the apostle Paul claims to be penning a summary and farewell greeting in his own hand: 1 Corinthians, Galatians, Philemon, cf. Colossians, 2 Thessalonians. Paul's claims raise some interesting questions about his letter-writing practices. Did he write any complete letters himself, or did he always dictate to a scribe? How much did his scribes contribute to the composition of his letters? Did Paul make the effort to proofread and correct what he had dictated? What was the purpose of Paul's autographic subscriptions? What was Paul's purpose in calling attention to their autographic nature? Why did Paul write in large letters in the subscription of his letter to the Galatians? Why did he call attention to this peculiarity of his handwriting? A good source of answers to these questions can be found among the primary documents that have survived from around the time of Paul, a large number of which have been discovered over the past two centuries and in fact continue to be discovered to this day. From around the time of Paul there are extant several dozen letters from the caves and refuges in the desert of eastern Judaea (in Hebrew, Aramaic, Nabataean, Greek, and Latin), several hundred from the remains of a Roman military camp in Vindolanda in northern England (in Latin), and several thousand from the sands of Middle and Upper Egypt (in Greek, Latin, and Egyptian Demotic). Reece has examined almost all these documents, many of them unpublished and rarely read, with special attention to their handwriting styles, in order to shed some light on these technical aspects of Paul's letter-writing conventions.
A conflict that erupted between Roman legions and some Judaeans in late A.D. 66 had an incalculable impact on Rome's physical appearance and imperial governance; on ancient Jews bereft of their mother-city and temple; and on early Christian fortunes. Historical scholarship and cinema alike tend to see the conflict as the culmination of long Jewish resistance to Roman oppression. In this volume, Steve Mason re-examines the war in all relevant contexts (e.g., the Parthian dimension, Judaea's place in Roman Syria) and phases, from the Hasmoneans to the fall of Masada. Mason approaches each topic as a historical investigation, clarifying problems that need to be solved, understanding the available evidence, and considering scenarios that might explain the evidence. The simplest reconstructions make the conflict more humanly intelligible while casting doubt on received knowledge.
“Essentially an encyclopedia of pot, filled with such top 10 lists as ‘best stoner movies’ . . . plus a ‘pot-parazzi’ section with celebrities sneaking a toke.” —Billboard Do you know the difference between burning one and Burning Man? Does using the name Marley as an adjective make total sense to you? Do you chuckle to yourself when the clock strikes 4:20? Are you convinced that the movie Dazed and Confused deserved an Oscar? If you answered “Dude!” to any of these questions, then Pot Culture is the book you’ve been waiting for. For those in the know, it’s the stoner bible. For novices, it’s Pot 101. Either way, Pot Culture encapsulates the history, lifestyle, and language of a subculture that, with every generation, is constantly redefining itself. From exhaustive lists of stoner-friendly movies, music, and television shows to detailed explanations of various stoner tools to celebrity-authored how-tos and an A-Z compendium of slang words and terms, it’s the ultimate encyclopedia of pot. Written by former High Times editors Shirley Halperin (now a senior writer at Entertainment Weekly and a TV talking head) and Steve Bloom (publisher of CelebStoner.com), and featuring contributions by a host of celebrity stoners, including Melissa Etheridge, Maroon 5’s Adam Levine, Redman, Steve-O, and America’s Next Top Model’s Adrianne Curry, Pot Culture provides the answers to everything you ever wanted to know about pot but were too stoned to ask. “This is a fun book that every toker should get their sticky green fingers on. Clever and informative . . . Great book and a must-buy for all us loadies.” —Blogcritics
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