S-scheme Heterojunction Photocatalysts Fundamentals and Applications clearly describes photocatalytic processes and mechanisms, reviews the history of traditional heterojunction, discusses the problems of charge transfer in some heterojunctions, states the necessity in proposing S-scheme photocatalyst, and provides, in detail, the design principles and characterization protocols for the emerging S-scheme heterojunction. Examples of S-scheme heterojunctions classified by material types are summarized, and the book provides a comprehensive discussion on design, fabrication, principle, mechanism, characterization, and application of S-scheme heterojunction photocatalyst. This book provides state-of-art research frontiers in this area that will appeal to experienced researchers and graduate students, as well as research and development scientists in the nanosized-composite-related industry. Provides the latest advances in this topic area, offering insights into the materials and applications of the hybrid materials Helps distinguish correct explanations from invalid ones and clears up historical misunderstandings in the field Provides new perspectives in charge carrier migration Enlightens readers to help them design and develop novel photocatalysts of their own with improved efficiency
S-scheme Heterojunction Photocatalysts Fundamentals and Applications clearly describes photocatalytic processes and mechanisms, reviews the history of traditional heterojunction, discusses the problems of charge transfer in some heterojunctions, states the necessity in proposing S-scheme photocatalyst, and provides, in detail, the design principles and characterization protocols for the emerging S-scheme heterojunction. Examples of S-scheme heterojunctions classified by material types are summarized, and the book provides a comprehensive discussion on design, fabrication, principle, mechanism, characterization, and application of S-scheme heterojunction photocatalyst. This book provides state-of-art research frontiers in this area that will appeal to experienced researchers and graduate students, as well as research and development scientists in the nanosized-composite-related industry. Provides the latest advances in this topic area, offering insights into the materials and applications of the hybrid materials Helps distinguish correct explanations from invalid ones and clears up historical misunderstandings in the field Provides new perspectives in charge carrier migration Enlightens readers to help them design and develop novel photocatalysts of their own with improved efficiency
Discrete Hilbert-type inequalities including Hilbert's inequality are important in mathematical analysis and its applications. In 1998, the author presented an extension of Hilbert's integral inequality with an independent parameter. In 2004, some new extensions of Hilbert's inequality were presented by introducing two pairs of conjugate exponents and additional independent parameters. Since then, a number of new discrete Hilbert-type inequalities have arisen. In this book, the author explains how to use the way of weight coefficients and introduce specific parameters to build new discrete Hil.
In 1934, G. H. Hardy et al. published a book entitled “Inequalities”, in which a few theorems about Hilbert-type inequalities with homogeneous kernels of degree-one were considered. Since then, the theory of Hilbert-type discrete and integral inequalities is almost built by Prof. Bicheng Yang in their four published books.This monograph deals with half-discrete Hilbert-type inequalities. By means of building the theory of discrete and integral Hilbert-type inequalities, and applying the technique of Real Analysis and Summation Theory, some kinds of half-discrete Hilbert-type inequalities with the general homogeneous kernels and non-homogeneous kernels are built. The relating best possible constant factors are all obtained and proved. The equivalent forms, operator expressions and some kinds of reverses with the best constant factors are given. We also consider some multi-dimensional extensions and two kinds of multiple inequalities with parameters and variables, which are some extensions of the two-dimensional cases. As applications, a large number of examples with particular kernels are also discussed.The authors have been successful in applying Hilbert-type discrete and integral inequalities to the topic of half-discrete inequalities. The lemmas and theorems in this book provide an extensive account of these kinds of inequalities and operators. This book can help many readers make good progress in research on Hilbert-type inequalities and their applications.
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