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A characterization of compactness for singular integrals

Villarroya Alvarez, Francisco LU (2015) In Journal des Mathématiques Pures et Appliquées 104(3). p.485-532
Abstract
We prove a T(1) theorem to completely characterize compact Calderon-Zygmund operators. The result provides sufficient and necessary conditions for the compactness of singular integral operators acting on L-p(R) with 1 < p < infinity. (C) 2015 Elsevier Masson SAS. All rights reserved.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Singular integral, Calderon-Zygmund operator, Compact operator, Wavelets
in
Journal des Mathématiques Pures et Appliquées
volume
104
issue
3
pages
485 - 532
publisher
Elsevier Masson SAS
external identifiers
  • wos:000360868000004
  • scopus:84939272364
ISSN
0021-7824
DOI
10.1016/j.matpur.2015.03.006
language
English
LU publication?
yes
id
5d6afec2-c5a6-434b-b782-636d04bfe69d (old id 8077582)
date added to LUP
2016-04-01 13:33:01
date last changed
2025-10-14 12:52:42
@article{5d6afec2-c5a6-434b-b782-636d04bfe69d,
  abstract     = {{We prove a T(1) theorem to completely characterize compact Calderon-Zygmund operators. The result provides sufficient and necessary conditions for the compactness of singular integral operators acting on L-p(R) with 1 &lt; p &lt; infinity. (C) 2015 Elsevier Masson SAS. All rights reserved.}},
  author       = {{Villarroya Alvarez, Francisco}},
  issn         = {{0021-7824}},
  keywords     = {{Singular integral; Calderon-Zygmund operator; Compact operator; Wavelets}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{485--532}},
  publisher    = {{Elsevier Masson SAS}},
  series       = {{Journal des Mathématiques Pures et Appliquées}},
  title        = {{A characterization of compactness for singular integrals}},
  url          = {{http://dx.doi.org/10.1016/j.matpur.2015.03.006}},
  doi          = {{10.1016/j.matpur.2015.03.006}},
  volume       = {{104}},
  year         = {{2015}},
}