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

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Kokilashvili, Vakhtang (Auteur), Meskhi, Alexander (Auteur), Rafeiro, Humberto (Auteur), Samko, Stefan (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Édition:1st ed. 2016.
Collection:Operator Theory: Advances and Applications, 248
Sujets:
Operator theory.
Functional analysis.
Operator Theory.
Functional Analysis.
Accès en ligne:Texto Completo
Table des matières:
  • 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.

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