Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory
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The work Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory
Resource Information
The work Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory
 Title remainder
 a sharp theory
 Statement of responsibility
 Ryan Alvarado, Marius Mitrea
 Language
 eng
 Summary
 Systematically building an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Ahlforsregular quasimetric spaces. The text is broadly divided into two main parts. The first part gives atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasimetric spaces, such as a Lebesgue differentiation theorem with minimal demands on the underlying measure, a maximally smooth approximation to the identity and a CalderonZygmund 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 upperhalf 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 TriebelLizorkin spaces in Ahlforsregular quasimetric spaces. The monograph is largely selfcontained and is intended for an audience of mathematicians, graduate students and professionals with a mathematical background who are interested in the interplay between analysis and geometry
 Cataloging source
 BTCTA
 Dewey number
 515.2
 Illustrations
 illustrations
 Index
 index present
 LC call number

 QA331
 QA3
 LC item number

 .A49 2015
 .L28 v. 2142
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 2142
Context
Context of Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theoryWork of
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