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Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces (Operator Theory: Advances and Applications, 249) - Softcover

 
9783319793269: Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces (Operator Theory: Advances and Applications, 249)

Synopsis

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.

"synopsis" may belong to another edition of this title.

Review

“The entire book, which is written in a complete consecutive way of presentation of the material, could be considered as a short encyclopedia, very useful for providing a basis for further research in the area.” (Nikos Labropoulos, Mathematical Reviews, August, 2017)

"About this title" may belong to another edition of this title.

  • PublisherBirkhäuser
  • Publication date2018
  • ISBN 10 3319793268
  • ISBN 13 9783319793269
  • BindingPaperback
  • LanguageEnglish
  • Number of pages457

Other Popular Editions of the Same Title

9783319210179: Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces (Operator Theory: Advances and Applications, 249)

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ISBN 10:  3319210173 ISBN 13:  9783319210179
Publisher: Birkhäuser, 2016
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 460 pp. Englisch. Seller Inventory # 9783319793269

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319793269

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents the first comprehensive account of the two-weight theory of basic integral operators, developed in variable exponent Lebesgue spacesProvides the complete characterizations of Riesz potentials (of functions in variable Lebesgue spaces), we. Seller Inventory # 448754762

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