Orlicz Spaces and Generalized Orlicz Spaces

By Pekka Lappalainen

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 Calder?n-Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincar? and Sobolev-Poincar? 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.

• Format: Paperback
• Language: English
• ISBN: 3030150992
• ISBN13: 9783030150990
• Release Date: May 2019
• Publisher: Springer
• Length: 169 Pages
• Weight: 0.57 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"