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

Harjulehto, Petteri; Hästö, Peter

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

Sinopsis

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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De la contraportada

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.


"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2019
Idioma
Inglés
ISBN 10 
3030150992
ISBN 13 
9783030150990
Encuadernación
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Número de edición
1
Número de páginas
180
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Otras ediciones populares con el mismo título

9783030151010: Orlicz Spaces and Generalized Orlicz Spaces

Edición Destacada

ISBN 10:  3030151018 ISBN 13:  9783030151010
Editorial: Springer, 2019
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