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2011 WEIGHTED LIPSCHITZ ESTIMATES FOR COMMUTATORS OF FRACTIONAL INTEGRALS WITH HOMOGENEOUS KERNELS
Yan Lin, Zongguang Liu, Guixia Pan
Taiwanese J. Math. 15(6): 2689-2700 (2011). DOI: 10.11650/twjm/1500406491

Abstract

In this paper the authors give a sufficient condition such that the commutator generated by the weighted Lipschitz function and the fractional integral operator with homogeneous kernel satisfying certain Dini condition is bounded on weighted Lebesgue spaces.

Citation

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Yan Lin. Zongguang Liu. Guixia Pan. "WEIGHTED LIPSCHITZ ESTIMATES FOR COMMUTATORS OF FRACTIONAL INTEGRALS WITH HOMOGENEOUS KERNELS." Taiwanese J. Math. 15 (6) 2689 - 2700, 2011. https://doi.org/10.11650/twjm/1500406491

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1258.42015
MathSciNet: MR2896138
Digital Object Identifier: 10.11650/twjm/1500406491

Subjects:
Primary: 42B20 , 42B30

Keywords: commutator , fractional integral operator , homogeneous kernel , weighted Lipschitz space

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 6 • 2011
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