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Titlebook: Variable Lebesgue Spaces; Foundations and Harm David V. Cruz-Uribe,Alberto Fiorenza Book 2013 Springer Basel 2013 Banach Function Spaces.Ex

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發(fā)表于 2025-3-21 18:39:21 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Variable Lebesgue Spaces
副標(biāo)題Foundations and Harm
編輯David V. Cruz-Uribe,Alberto Fiorenza
視頻videohttp://file.papertrans.cn/981/980505/980505.mp4
概述Proofs are developed in detail, illustrating the standard techniques used in the field?.Accessible for research mathematicians as well as graduate students.Provides a thorough and up to date bibliogra
叢書名稱Applied and Numerical Harmonic Analysis
圖書封面Titlebook: Variable Lebesgue Spaces; Foundations and Harm David V. Cruz-Uribe,Alberto Fiorenza Book 2013 Springer Basel 2013 Banach Function Spaces.Ex
描述.This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent .p. with a variable exponent .p.(.x.)... They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. .The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue?spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are
出版日期Book 2013
關(guān)鍵詞Banach Function Spaces; Extrapolation Theory; Hardy-Littlewood Maximal Operator; Harmonic Analysis; Vari
版次1
doihttps://doi.org/10.1007/978-3-0348-0548-3
isbn_softcover978-3-0348-0757-9
isbn_ebook978-3-0348-0548-3Series ISSN 2296-5009 Series E-ISSN 2296-5017
issn_series 2296-5009
copyrightSpringer Basel 2013
The information of publication is updating

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Applied and Numerical Harmonic Analysishttp://image.papertrans.cn/v/image/980505.jpg
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Structure of Variable Lebesgue Spaces,In this chapter we give a precise definition of the variable Lebesgue spaces and establish their structural properties as Banach function spaces. Throughout this chapter we will generally assume that . is a Lebesgue measurable subset of . with positive measure. Occasionally we will have to assume more, but we make it explicit if we do.
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David V. Cruz-Uribe,Alberto FiorenzaProofs are developed in detail, illustrating the standard techniques used in the field?.Accessible for research mathematicians as well as graduate students.Provides a thorough and up to date bibliogra
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2296-5009 s between variable Lebesgue?spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are 978-3-0348-0757-9978-3-0348-0548-3Series ISSN 2296-5009 Series E-ISSN 2296-5017
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David V. Cruz-Uribe,Alberto Fiorenza companies. Such a step has not been taken until recently as commercial pressures have declined in tandem with the shift to the environmental motive..Thus it is not so strange that the public image of geologists and geophysicists has been one of the “bad guys” who disguise minerals exploration under
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