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- Author: Petteri Harjulehto
- Publisher: Springer
- ISBN-10: 3030150992
- ISBN-13: 9783030150990
- Format: 15.6 x 23.4 x 1 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
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Description
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.
EXTRA 10 % discount with code: EXTRA
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- Author: Petteri Harjulehto
- Publisher: Springer
- ISBN-10: 3030150992
- ISBN-13: 9783030150990
- Format: 15.6 x 23.4 x 1 cm, minkšti viršeliai
- Language: English English
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.
Reviews