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2006 BOUNDEDNESS OF COMMUTATORS WITH LIPSCHITZ FUNCTIONS IN NON-HOMOGENEOUS SPACES
Yan Meng, Dachun Yang
Taiwanese J. Math. 10(6): 1443-1464 (2006). DOI: 10.11650/twjm/1500404567

Abstract

Under the assumption that $\mu$ is a non-doubling measure on $\mathbb{R}^d$, the authors obtain the boundedness of commutators generated by Calderón-Zygmund operators or fractional integrals with Lipschitz functions in the Lebesgue space and the Hardy space.

Citation

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Yan Meng. Dachun Yang. "BOUNDEDNESS OF COMMUTATORS WITH LIPSCHITZ FUNCTIONS IN NON-HOMOGENEOUS SPACES." Taiwanese J. Math. 10 (6) 1443 - 1464, 2006. https://doi.org/10.11650/twjm/1500404567

Information

Published: 2006
First available in Project Euclid: 18 July 2017

zbMATH: 1131.47034
MathSciNet: MR2275138
Digital Object Identifier: 10.11650/twjm/1500404567

Subjects:
Primary: 47B47
Secondary: 43A99

Keywords: Calderón-Zygmund operator , commutator , fractional integral , Hardy space , Lebesgue space , ‎Lipschitz space

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 6 • 2006
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