Orlicz Spaces and Generalized Orlicz Spaces
(Sprache: Englisch)
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...
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Klappentext zu „Orlicz Spaces and Generalized Orlicz Spaces “
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 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.
Inhaltsverzeichnis zu „Orlicz Spaces and Generalized Orlicz Spaces “
- Introduction.- -Functions. - Generalized Orlicz Spaces. - Maximal and Averaging Operators. - Extrapolation and Interpolation. - Sobolev Spaces. - Special Cases.
Bibliographische Angaben
- Autoren: Petteri Harjulehto , Peter Hästö
- 2019, 1st ed. 2019, X, 169 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3030150992
- ISBN-13: 9783030150990
- Erscheinungsdatum: 08.05.2019
Sprache:
Englisch
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