A characterization of compactness for singular integrals

Francisco Villarroya Alvarez

doi:10.1016/j.matpur.2015.03.006

A characterization of compactness for singular integrals

Francisco Villarroya Alvarez

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	485-532
Journal	Journal des Mathématiques Pures et Appliquées
Volume	104
Issue number	3
DOIs	https://doi.org/10.1016/j.matpur.2015.03.006
Publication status	Published - 2015

Subject classification (UKÄ)

Mathematical Analysis

Free keywords

Singular integral
Calderon-Zygmund operator
Compact operator
Wavelets

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10.1016/j.matpur.2015.03.006

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title = "A characterization of compactness for singular integrals",

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.",

keywords = "Singular integral, Calderon-Zygmund operator, Compact operator, Wavelets",

author = "{Villarroya Alvarez}, Francisco",

year = "2015",

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language = "English",

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T1 - A characterization of compactness for singular integrals

AU - Villarroya Alvarez, Francisco

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Singular integral

KW - Calderon-Zygmund operator

KW - Compact operator

KW - Wavelets

U2 - 10.1016/j.matpur.2015.03.006

DO - 10.1016/j.matpur.2015.03.006

M3 - Article

SN - 0021-7824

VL - 104

SP - 485

EP - 532

JO - Journal des Mathématiques Pures et Appliquées

JF - Journal des Mathématiques Pures et Appliquées

IS - 3

ER -

A characterization of compactness for singular integrals

Abstract

Subject classification (UKÄ)

Free keywords

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Cite this