C1 Kustannettu tieteellinen erillisteos

Orlicz Spaces and Generalized Orlicz Spaces




Julkaisun tekijät: Harjulehto P., Hästö P.

Kustantaja: Springer Verlag

Julkaisuvuosi: 2019

Tietokannassa oleva lehden nimi: Lecture Notes in Mathematics

Sarjan nimi: Lecture Notes in Mathematics

Volyymi: 2236

Sivujen määrä: 158

ISBN: 978-3-030-15099-0

eISBN: 978-3-030-15100-3

ISSN: 0075-8434

DOI: http://dx.doi.org/10.1007/978-3-030-15100-3


Tiivistelmä

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.


Last updated on 2021-24-06 at 09:16