Calderón-type reproducing formula and the Tb theorem.

Yong Sheng Han

Revista Matemática Iberoamericana (1994)

  • Volume: 10, Issue: 1, page 51-91
  • ISSN: 0213-2230

Abstract

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In this paper we use the Calderón-Zygmund operator theory to prove a Calderón type reproducing formula associated with a para-accretive function. Using our Calderón-type reproducing formula we introduce a new class of the Besov and Triebel-Lizorkin spaces and prove a Tb theorem for these new spaces.

How to cite

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Han, Yong Sheng. "Calderón-type reproducing formula and the Tb theorem.." Revista Matemática Iberoamericana 10.1 (1994): 51-91. <http://eudml.org/doc/39460>.

@article{Han1994,
abstract = {In this paper we use the Calderón-Zygmund operator theory to prove a Calderón type reproducing formula associated with a para-accretive function. Using our Calderón-type reproducing formula we introduce a new class of the Besov and Triebel-Lizorkin spaces and prove a Tb theorem for these new spaces.},
author = {Han, Yong Sheng},
journal = {Revista Matemática Iberoamericana},
keywords = {Integral normada; Kernel; Calderón-Zygmund operator; paraaccretive function; Calderón-type reproducing formula; theorem; Besov spaces; Triebel-Lizorkin spaces; singular integral operators},
language = {eng},
number = {1},
pages = {51-91},
title = {Calderón-type reproducing formula and the Tb theorem.},
url = {http://eudml.org/doc/39460},
volume = {10},
year = {1994},
}

TY - JOUR
AU - Han, Yong Sheng
TI - Calderón-type reproducing formula and the Tb theorem.
JO - Revista Matemática Iberoamericana
PY - 1994
VL - 10
IS - 1
SP - 51
EP - 91
AB - In this paper we use the Calderón-Zygmund operator theory to prove a Calderón type reproducing formula associated with a para-accretive function. Using our Calderón-type reproducing formula we introduce a new class of the Besov and Triebel-Lizorkin spaces and prove a Tb theorem for these new spaces.
LA - eng
KW - Integral normada; Kernel; Calderón-Zygmund operator; paraaccretive function; Calderón-type reproducing formula; theorem; Besov spaces; Triebel-Lizorkin spaces; singular integral operators
UR - http://eudml.org/doc/39460
ER -

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