Orlicz spaces and generalized Orlicz spaces

Author(s)

• Harjulehto, Petteri
• Hästö, Peter

Bibliographic Information

Orlicz spaces and generalized Orlicz spaces

Petteri Harjulehto, Peter Hästö

（Lecture notes in mathematics, 2236）

Springer, c2019

Note

Includes bibliographical references (p. 159-164) and index

Description and Table of Contents

Description

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating -function. It introduces and develops a technique centered on the use of equivalent -functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderon-Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincare and Sobolev-Poincare inequalities in norm and modular forms. Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.

Table of Contents

- Introduction.- -Functions. - Generalized Orlicz Spaces. - Maximal and Averaging Operators. - Extrapolation and Interpolation. - Sobolev Spaces. - Special Cases.

by "Nielsen BookData"

Details

• NCID: BB28172863
• ISBN:
  • 9783030150990
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cham
• Pages/Volumes: x, 167 p.
• Size: 24 cm
• Parent Bibliography ID:
  • BA00146586