Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces (Operator Theory: Advances and Applications)

Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan

ISBN 10: 331979325X / ISBN 13: 9783319793252

Editore: Springer (India) Private Limited, 2018

Riguardo questo articolo

pp. 567.

Codice articolo 26383556324

Dati bibliografici

• Titolo: Integral Operators in Non-Standard Function Spaces: Volume 1: Variable Exponent Lebesgue and Amalgam Spaces (Operator Theory: Advances and Applications)
• Editore: Springer (India) Private Limited
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 331979325X
• ISBN 13: 9783319793252
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.