Stefan Samko's Books

Equations with Involutive Operators

By: Nikolai Karapetiants,Stefan Samko

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Equations with Involutive Operators

By: Nikolai Karapetiants,Stefan Samko

This self-contained title demonstrates an important interplay between abstract and concrete operator theory. Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and culminating in the final chapters with state-of-the-art topics. Good examples, bibliography and index make this text a valuable classroom or reference resource.

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Page Count

444

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461201837

ISBN 13

9781461201830

Integral Operators in Non-Standard Function Spaces

Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces

By: Vakhtang Kokilashvili,Alexander Meskhi,Humberto Rafeiro,Stefan Samko

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Integral Operators in Non-Standard Function Spaces

Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces

By: Vakhtang Kokilashvili,Alexander Meskhi,Humberto Rafeiro,Stefan Samko

This book, the result of the authors’ long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book’s most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.

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Page Count

455

Publisher

Birkhäuser

Published Date

ISBN 10

3319210181

ISBN 13

9783319210186

Hypersingular Integrals and Their Applications

By: Stefan Samko

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Hypersingular Integrals and Their Applications

By: Stefan Samko

Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before

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Page Count

378

Publisher

CRC Press

Published Date

ISBN 10

148226496X

ISBN 13

9781482264968

Fractional Integrals and Derivatives

By: Stefan Samko,Anatoly A. Kilbas,Oleg Marichev

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Fractional Integrals and Derivatives

By: Stefan Samko,Anatoly A. Kilbas,Oleg Marichev

In San Francisco, a fisherman's get-rich-quick scheme ends in violence. As sharks fetch high prices, he hires a professional shark hunter to go fishing, the deal being he gets the first three tons, the hunter the rest. But as the hunter's share piles up, jealousy rears its head.

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Page Count

1016

Publisher

CRC Press

Published Date

ISBN 10

2881248640

ISBN 13

9782881248641

Book's by Stefan Samko

Equations with Involutive Operators

Equations with Involutive Operators

Integral Operators in Non-Standard Function Spaces

Integral Operators in Non-Standard Function Spaces

Hypersingular Integrals and Their Applications

Hypersingular Integrals and Their Applications

Fractional Integrals and Derivatives

Fractional Integrals and Derivatives

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