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arXiv:2107.03314 [math.CA]AbstractReferencesReviewsResources

Bump conditions and two-weight inequalities for commutators of fractional integrals

Yongming Wen, Huoxiong Wu

Published 2021-07-07Version 1

This paper gives new two-weight bump conditions for the sparse operators related to iterated commutators of fractional integrals. As applications, the two-weight bounds for iterated commutators of fractional integrals under more general bump conditions are obtained. Meanwhile, the necessity of two-weight bump conditions as well as the converse of Bloom type estimates for iterated commutators of fractional integrals are also given.

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