The Resource On homogeneous Calderón-Zygmund operators with rough kernels, by Atanas Stefanov

On homogeneous Calderón-Zygmund operators with rough kernels, by Atanas Stefanov

Label
On homogeneous Calderón-Zygmund operators with rough kernels
Title
On homogeneous Calderón-Zygmund operators with rough kernels
Statement of responsibility
by Atanas Stefanov
Creator
Subject
Language
eng
Summary
In the present dissertation, we address several questions concerning boundedness properties of singular and maximal singular integral operators with rough homogeneous kernels. In the first chapter, we give a necessary and sufficient condition for an integrable compactly supported function with mean value zero on the line to belong to the Hardy space H [superscript 1] ( R [superscript 1]) and we use this result to obtain a new characterization of H 1 ( S [superscript 1]). We also give some applications in the context of singular integrals. In the second chapter, we obtain L [superscript p] bounds for singular and maximal singular integrals with homogeneous kernels satisfying various size conditions. In the third chapter, we address the problem of weak type (1, 1) boundedness of Calderón-Zygmund operators with homogeneous rough kernels. We prove uniform weak type (1, 1) bounds for operators whose kernels which can be written as sums of "equidistributed" atoms on the circle S [superscript 1]
Additional physical form
Also available on the Internet.
Cataloging source
MUU
http://library.link/vocab/creatorDate
1970-
http://library.link/vocab/creatorName
Stefanov, Atanas
Degree
Ph. D.
Dissertation year
1999.
Government publication
government publication of a state province territory dependency etc
Granting institution
University of Missouri-Columbia
Index
no index present
Literary form
non fiction
Nature of contents
  • bibliography
  • theses
http://library.link/vocab/subjectName
  • Homogenous complex manifolds
  • Calderón-Zygmund operator
  • Linear operators
  • Homogeneous complex manifolds
Target audience
specialized
Label
On homogeneous Calderón-Zygmund operators with rough kernels, by Atanas Stefanov
Instantiates
Publication
Note
  • Typescript
  • Vita
Bibliography note
Includes bibliographical references (leaves 70-73)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
49308502
Dimensions
29 cm
Dimensions
unknown
Extent
vi, 74 leaves
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
Label
On homogeneous Calderón-Zygmund operators with rough kernels, by Atanas Stefanov
Publication
Note
  • Typescript
  • Vita
Bibliography note
Includes bibliographical references (leaves 70-73)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
49308502
Dimensions
29 cm
Dimensions
unknown
Extent
vi, 74 leaves
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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