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
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The item Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- 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
- 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
- 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
- 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Hardy-spaces-on-Ahlfors-regular-quasi-metric/pv-yT0fIPSY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Hardy-spaces-on-Ahlfors-regular-quasi-metric/pv-yT0fIPSY/">Hardy spaces on Ahlfors-regular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
