Lecture Notes in Mathematics

Orlicz Spaces and Generalized Orlicz Spaces

Authors: Harjulehto, Petteri, Hästö, Peter

Free Preview
  • The first book on harmonic analysis in generalized Orlicz spaces
  • Considers the most general class of Φ-functions, giving a systematic presentation of the use of equivalent Φ-functions to simplify proofs
  • Includes non-doubling versions of most results and also more general results for the case of (non-generalized) Orlicz spaces
  • Includes as special cases variable exponent and double phase growth
see more benefits

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-030-15100-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-030-15099-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-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 Calderón–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré 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 (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-030-15100-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-030-15099-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Orlicz Spaces and Generalized Orlicz Spaces
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2236
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-15100-3
DOI
10.1007/978-3-030-15100-3
Softcover ISBN
978-3-030-15099-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 169
Number of Illustrations
9 b/w illustrations
Topics