The Resource Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea
Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea
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Resource Information
The item Hardy spaces on Ahlforsregular 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 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
 Language
 eng
 Label
 Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory
 Title
 Hardy spaces on Ahlforsregular 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 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
 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
 Quasimetric spaces
 Fourier analysis
 Differential equations, Partial
 Label
 Hardy spaces on Ahlforsregular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea
 Bibliography note
 Includes bibliographical references (pages 471477) 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 Ahlforsregular quasi metric spaces : a sharp theory, Ryan Alvarado, Marius Mitrea
 Bibliography note
 Includes bibliographical references (pages 471477) 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 faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/HardyspacesonAhlforsregularquasimetric/pvyT0fIPSY/" 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/HardyspacesonAhlforsregularquasimetric/pvyT0fIPSY/">Hardy spaces on Ahlforsregular 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>