WEIGHTED LIPSCHITZ ESTIMATES FOR COMMUTATORS OF FRACTIONAL INTEGRALS WITH HOMOGENEOUS KERNELS

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. 2010Mathematics Subject Classification: 4...

Full description

Saved in:
Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 15; no. 6; pp. 2689 - 2700
Main Authors Lin, Yan, Liu, Zongguang, Pan, Guixia
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.12.2011
Subjects
Commutators
Mathematical functions
Mathematical integrals
Online AccessGet full text
ISSN1027-5487
2224-6851
DOI10.11650/twjm/1500406491

Cover

More Information
Summary: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. 2010Mathematics Subject Classification: 42B20, 42B30. Key words and phrases: Weighted Lipschitz space, Commutator, Fractional integral operator, Homogeneous kernel.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500406491