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Orlicz Spaces and Generalized Orlicz Spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Orlicz Spaces and Generalized Orlicz Spaces/ by Petteri Harjulehto, Peter Hästö.
作者:	Harjulehto, Petteri.
其他作者:	Hästö, Peter.
面頁冊數:	X, 169 p. 9 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Measure theory. -
電子資源:	https://doi.org/10.1007/978-3-030-15100-3
ISBN:	9783030151003

Orlicz Spaces and Generalized Orlicz Spaces
Harjulehto, Petteri.

Orlicz Spaces and Generalized Orlicz Spaces[electronic resource] /by Petteri Harjulehto, Peter Hästö. - 1st ed. 2019. - X, 169 p. 9 illus.online resource. - Lecture Notes in Mathematics,22360075-8434 ;. - Lecture Notes in Mathematics,2144.

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.

ISBN: 9783030151003

Standard No.: 10.1007/978-3-030-15100-3doiSubjects--Topical Terms:

527848
Measure theory.

LC Class. No.: QA312-312.5

Dewey Class. No.: 515.42

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