# Calderón-type reproducing formula and the Tb theorem.

Revista Matemática Iberoamericana (1994)

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

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topHan, 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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