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

Matematik (naturvetenskapliga fakulteten)

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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.

Originalspråk	engelska
Sidor (från-till)	485-532
Tidskrift	Journal des Mathématiques Pures et Appliquées
Volym	104
Nummer	3
DOI	https://doi.org/10.1016/j.matpur.2015.03.006
Status	Published - 2015

Ämnesklassifikation (UKÄ)

Matematisk analys

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10.1016/j.matpur.2015.03.006

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@article{5d6afec2c5a6434bb782636d04bfe69d,

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",

doi = "10.1016/j.matpur.2015.03.006",

language = "English",

volume = "104",

pages = "485--532",

journal = "Journal des Math{\'e}matiques Pures et Appliqu{\'e}es",

issn = "0021-7824",

publisher = "Elsevier Masson SAS",

number = "3",

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T1 - A characterization of compactness for singular integrals

AU - Villarroya Alvarez, Francisco

PY - 2015

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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

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