The boundedness of Calderón-Zygmund operators on the spaces Fpα,q.

Michel Frazier; Rodolfo Torres; Guido Weiss

Revista Matemática Iberoamericana (1988)

  • Volume: 4, Issue: 1, page 41-72
  • ISSN: 0213-2230

Abstract

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Calderón-Zygmund operators are generalizations of the singular integral operators introduced by Calderón and Zygmund in the fifties [CZ]. These singular integrals are principal value convolutions of the formTf(x) = límε→0 ∫|x-y|>ε K(x-y) f(y) dy = p.v.K * f(x),where f belongs to some class of test functions.

How to cite

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Frazier, Michel, Torres, Rodolfo, and Weiss, Guido. "The boundedness of Calderón-Zygmund operators on the spaces Fpα,q.." Revista Matemática Iberoamericana 4.1 (1988): 41-72. <http://eudml.org/doc/39349>.

@article{Frazier1988,
abstract = {Calderón-Zygmund operators are generalizations of the singular integral operators introduced by Calderón and Zygmund in the fifties [CZ]. These singular integrals are principal value convolutions of the formTf(x) = límε→0 ∫|x-y|&gt;ε K(x-y) f(y) dy = p.v.K * f(x),where f belongs to some class of test functions.},
author = {Frazier, Michel, Torres, Rodolfo, Weiss, Guido},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores lineales; Operadores integrales; Acotación; Espacios LP; Espacios vectoriales topológicos; boundedness; Calderón-Zygmund operators; Triebel-Lizorkin spaces},
language = {eng},
number = {1},
pages = {41-72},
title = {The boundedness of Calderón-Zygmund operators on the spaces Fpα,q.},
url = {http://eudml.org/doc/39349},
volume = {4},
year = {1988},
}

TY - JOUR
AU - Frazier, Michel
AU - Torres, Rodolfo
AU - Weiss, Guido
TI - The boundedness of Calderón-Zygmund operators on the spaces Fpα,q.
JO - Revista Matemática Iberoamericana
PY - 1988
VL - 4
IS - 1
SP - 41
EP - 72
AB - Calderón-Zygmund operators are generalizations of the singular integral operators introduced by Calderón and Zygmund in the fifties [CZ]. These singular integrals are principal value convolutions of the formTf(x) = límε→0 ∫|x-y|&gt;ε K(x-y) f(y) dy = p.v.K * f(x),where f belongs to some class of test functions.
LA - eng
KW - Operadores lineales; Operadores integrales; Acotación; Espacios LP; Espacios vectoriales topológicos; boundedness; Calderón-Zygmund operators; Triebel-Lizorkin spaces
UR - http://eudml.org/doc/39349
ER -

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