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Integral Operators in Non-Standard Function Spaces

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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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Detail Information

Series Title

-

Call Number

510 KOK i

Publisher

: ., 2016

Collation

XXIII, 434

Language

English

ISBN/ISSN

978-3-319-21014-8

Classification

510

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Operator Theory

Specific Detail Info

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Statement of Responsibility

Vakhtang Kokilashvili

Other Information

Cataloger

Khusnun

Source

-

Validator

-

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