Lipschitz estimates for multilinear commutators of singular integral operators on spaces of homogeneous type

Chen Yue, Liu Lanzhe
2010 Miskolc Mathematical Notes  
In this paper we discuss the multilinear commutators of singular integral operators on spaces of homogeneous type. By using Hölder's inequalities and the .L p ; L q / type boundedness of fractional integral operators on spaces of homogeneous type, we obtain that this kind of multilinear commutators is bounded from L p to L q , from L p to Triebel-Lizorkin spaces and from H p E b to L p . We also establish their .H P K˛; p q 1 ; E b ; P K˛; p q 2 / type boundedness on spaces of homogeneous type.
more » ... f homogeneous type. 2000 Mathematics Subject Classification: 42B20, 42B25
doi:10.18514/mmn.2010.252 fatcat:yutryor46valziftvole2orapm