Orlicz Spaces and Generalized Orlicz Spaces: 2236 (Lecture Notes in Mathematics) - Softcover

Harjulehto, Petteri; Hästö, Peter

 
9783030150990: Orlicz Spaces and Generalized Orlicz Spaces: 2236 (Lecture Notes in Mathematics)
Softcover
ISBN 10: 3030150992 ISBN 13: 9783030150990
Verlag: Springer, 2019

Inhaltsangabe

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.


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This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating F-function. It introduces and develops a technique centered on the use of equivalent F-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.


„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
3030150992
ISBN 13 
9783030150990
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
180
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Vorgestellte Ausgabe

ISBN 10:  3030151018 ISBN 13:  9783030151010
Verlag: Springer, 2019
Softcover