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

• Main Authors: Kokilashvili, Vakhtang (Author), Meskhi, Alexander (Author), Rafeiro, Humberto (Author), Samko, Stefan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Operator Theory: Advances and Applications, 248
• Subjects: Mathematics.; Functional analysis.; Operator theory.; Operator Theory.; Functional Analysis.

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...

Table of Contents:

• 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.