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Titlebook: Orlicz Spaces and Generalized Orlicz Spaces; Petteri Harjulehto,Peter H?st? Book 2019 Springer Nature Switzerland AG 2019 Extrapolation.Ma

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書目名稱Orlicz Spaces and Generalized Orlicz Spaces
編輯Petteri Harjulehto,Peter H?st?
視頻videohttp://file.papertrans.cn/705/704656/704656.mp4
概述The first book on harmonic analysis in generalized Orlicz spaces.Considers the most general class of F-functions, giving a systematic presentation of the use of equivalent F-functions to simplify proo
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Orlicz Spaces and Generalized Orlicz Spaces;  Petteri Harjulehto,Peter H?st? Book 2019 Springer Nature Switzerland AG 2019 Extrapolation.Ma
描述.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..
出版日期Book 2019
關鍵詞Extrapolation; Maximum Function; Musielak-Orlicz Space; Orlicz Space; Phi-function; Sobolev Space; partial
版次1
doihttps://doi.org/10.1007/978-3-030-15100-3
isbn_softcover978-3-030-15099-0
isbn_ebook978-3-030-15100-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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Petteri Harjulehto,Peter H?st?of polynucleotides, were synthesized and studied. In this review polymers which have backbones analogous to those of plastics and substituents analogous to those of polynucleotides are described; further in the text these compounds are named polynucleotide analogs. The interactions of polynucleotide
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Petteri Harjulehto,Peter H?st?ing withits appearance in thesuch systems as Mycin and Prospector. The papers in thisvolume reflect the current range of interests or researchersin thefield. Currently, the major approaches to uncertaintyinclude fuzzy set theory, probabilistic methods,mathematical theory of evidence, non-standardlog
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