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Titlebook: Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces; A Sharp Theory Ryan Alvarado,Marius Mitrea Book 2015 Springer International Publishing

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發(fā)表于 2025-3-21 16:20:50 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces
副標題A Sharp Theory
編輯Ryan Alvarado,Marius Mitrea
視頻videohttp://file.papertrans.cn/425/424235/424235.mp4
概述Problems of the sort considered in the present monograph profoundly affect the nature of the results in many other adjacent areas of mathematics..Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces; A Sharp Theory Ryan Alvarado,Marius Mitrea Book 2015 Springer International Publishing
描述.Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metric spaces, such as a Lebesgue differentiation theorem with minimal demands on the underlying measure, a maximally smooth approximation to the identity and a Calderon-Zygmund decomposition for distributions. These results are of independent interest. The second part establishes very general criteria guaranteeing that a linear operator acts continuously from a Hardy space into a topological vector space, emphasizing the role of the action of the operator on atoms. Applications include the solvability of the Dirichlet problem for elliptic systems in the upper-half space with boundary data from Hardy spaces. The tools established in the first part are then used to develop a sharp theory of Besov and Triebel-Lizorkin spaces in Ahlfors-regular quasi-metric spaces. The monograph is largely self-cont
出版日期Book 2015
關鍵詞43A17,43A85,54E35,54E50,46A16,46F05; Atoms; Grand maximal function; Hardy space; Quasi-metric space; Spac
版次1
doihttps://doi.org/10.1007/978-3-319-18132-5
isbn_softcover978-3-319-18131-8
isbn_ebook978-3-319-18132-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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發(fā)表于 2025-3-21 23:27:00 | 只看該作者
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces978-3-319-18132-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Lecture Notes in Mathematicshttp://image.papertrans.cn/h/image/424235.jpg
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Analysis on Spaces of Homogeneous Type,The main goal of this chapter is to rework, in a sharp and relatively self-contained fashion, some of the most fundamental tools used in the area of analysis on quasi-metric spaces. Many of the results presented in this section are of independent interest and will be found useful in a plethora of subsequent applications.
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Maximal Theory of Hardy Spaces,The main goal of this chapter is to introduce Hardy spaces in the context of .-Ahlfors-regular quasi-metric spaces by defining ..(.) as a collection of distributions whose maximal belongs to ..(.). This is in the spirit of the pioneering work of C.
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Molecular and Ionic Theory of Hardy Spaces,This chapter is dedicated to the exploration of the molecular and ionic theory of ..(.) in the setting of .-AR spaces. As a motivation for this topic, suppose one is concerned with the behavior of a bounded linear operator .:?..(.,?.)?→?..(.,?.).
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