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Integral Operators in Non-Standard Function Spaces = Volume 1: Variable Exponent Lebesgue and Amalgam Spaces /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Integral Operators in Non-Standard Function Spaces/ by Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko.
Reminder of title:	Volume 1: Variable Exponent Lebesgue and Amalgam Spaces /
Author:	Kokilashvili, Vakhtang.
other author:	Meskhi, Alexander.
Description:	XX, 567 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Operator theory. -
Online resource:	https://doi.org/10.1007/978-3-319-21015-5
ISBN:	9783319210155

Integral Operators in Non-Standard Function Spaces = Volume 1: Variable Exponent Lebesgue and Amalgam Spaces /
Kokilashvili, Vakhtang.

Integral Operators in Non-Standard Function SpacesVolume 1: Variable Exponent Lebesgue and Amalgam Spaces /[electronic resource] :by Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko. - 1st ed. 2016. - XX, 567 p.online resource. - Operator Theory: Advances and Applications,2480255-0156 ;. - Operator Theory: Advances and Applications,246.

Preface -- I: Variable Exponent Lebesgue and Amalgam spaces -- 1 Hardy Type Operators -- 2 Oscillating weights -- 3 Kernel Integral Operators -- 4 Two-Weight Estimates -- 5 One-sided Operators -- 6 Two-weight Inequalities for Fractional Maximal Functions -- 7 Hypersingular Integrals -- 8 Description of the Range of Potentials 213 -- 9 More on Compactness -- 10 Applications to Singular Integral Equations -- II: Hölder Spaces of Variable Order -- 11 Variable Order Hölder Spaces -- III: Variable Exponent Morrey-Campanato and Herz Spaces -- 12 Morrey Type Spaces; Constant Exponents -- 13 Morrey Type Spaces; Variable Exponents -- Bibliography -- Symbol Index -- Subject Index.

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.

ISBN: 9783319210155

Standard No.: 10.1007/978-3-319-21015-5doiSubjects--Topical Terms:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

Integral Operators in Non-Standard Function Spaces = Volume 1: Variable Exponent Lebesgue and Amalgam Spaces /
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