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Vakhtang Kokilashvili & Alexander Meskhi 
Integral Operators in Non-Standard Function Spaces 
Volume 1: Variable Exponent Lebesgue and Amalgam Spaces

Destek

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 mathematicsand prospective students.

€128.39
Ödeme metodları

İçerik tablosu

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.
Dil İngilizce ● Biçim PDF ● Sayfalar 567 ● ISBN 9783319210155 ● Dosya boyutu 6.3 MB ● Yayımcı Springer International Publishing ● Kent Cham ● Ülke CH ● Yayınlanan 2016 ● İndirilebilir 24 aylar ● Döviz EUR ● Kimlik 4885901 ● Kopya koruma Sosyal DRM

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