Calderón-Zygmund operators acting on generalized Carleson measure spaces

Chin-Cheng Lin; Kunchuan Wang

Studia Mathematica (2012)

  • Volume: 211, Issue: 3, page 231-240
  • ISSN: 0039-3223

Abstract

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We study Calderón-Zygmund operators acting on generalized Carleson measure spaces C M O r α , q and show a necessary and sufficient condition for their boundedness. The spaces C M O r α , q are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.

How to cite

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Chin-Cheng Lin, and Kunchuan Wang. "Calderón-Zygmund operators acting on generalized Carleson measure spaces." Studia Mathematica 211.3 (2012): 231-240. <http://eudml.org/doc/285485>.

@article{Chin2012,
abstract = {We study Calderón-Zygmund operators acting on generalized Carleson measure spaces $CMO^\{α,q\}_\{r\}$ and show a necessary and sufficient condition for their boundedness. The spaces $CMO^\{α,q\}_\{r\}$ are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.},
author = {Chin-Cheng Lin, Kunchuan Wang},
journal = {Studia Mathematica},
keywords = {Calderón-Zygmund operator; generalized Carleson measure space; Triebel-Lizorkin space},
language = {eng},
number = {3},
pages = {231-240},
title = {Calderón-Zygmund operators acting on generalized Carleson measure spaces},
url = {http://eudml.org/doc/285485},
volume = {211},
year = {2012},
}

TY - JOUR
AU - Chin-Cheng Lin
AU - Kunchuan Wang
TI - Calderón-Zygmund operators acting on generalized Carleson measure spaces
JO - Studia Mathematica
PY - 2012
VL - 211
IS - 3
SP - 231
EP - 240
AB - We study Calderón-Zygmund operators acting on generalized Carleson measure spaces $CMO^{α,q}_{r}$ and show a necessary and sufficient condition for their boundedness. The spaces $CMO^{α,q}_{r}$ are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.
LA - eng
KW - Calderón-Zygmund operator; generalized Carleson measure space; Triebel-Lizorkin space
UR - http://eudml.org/doc/285485
ER -

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