An Introductory Course in Lebesgue Spaces

This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand L...

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Bibliographic Details
Main Authors: Castillo, Rene Erlin (Author), Rafeiro, Humberto (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Convex Functions and Inequalities
  • Lebesgue Sequence Spaces
  • Lebesgue Spaces
  • Distribution Function and Non-Increasing Rearrangement
  • Weak Lebesgue Spaces
  • Lorentz Spaces
  • Non-Standard Lebesgue Spaces
  • Interpolation of Operators
  • Maximal Operator
  • Integral Operators
  • Convolution and Potentials
  • Appendices.