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The Resource Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea

Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea

Label
Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory
Title
Hardy spaces on Ahlfors-regular quasi metric spaces
Title remainder
a sharp theory
Statement of responsibility
Ryan Alvarado, Marius Mitrea
Creator
Contributor
Author
Subject
Language
eng
Summary
Systematically building an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Ahlfors-regular quasi-metric 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 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-contained 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
Member of
Cataloging source
BTCTA
http://library.link/vocab/creatorName
Alvarado, Ryan
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
http://library.link/vocab/relatedWorkOrContributorName
Mitrea, Marius
Series statement
Lecture notes in mathematics,
Series volume
2142
http://library.link/vocab/subjectName
  • Functional analysis
  • Hardy spaces
  • Quasi-metric spaces
  • Fourier analysis
  • Differential equations, Partial
Label
Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 471-477) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
907205312
Dimensions
24 cm
Extent
viii, 486 pages
Isbn
9783319181318
Lccn
2015940436
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)907205312
Label
Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea
Publication
Copyright
Bibliography note
Includes bibliographical references (pages 471-477) and indexes
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Control code
907205312
Dimensions
24 cm
Extent
viii, 486 pages
Isbn
9783319181318
Lccn
2015940436
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
Other physical details
illustrations (some color)
System control number
(OCoLC)907205312

Library Locations

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      38.944377 -92.326537
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