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arXiv · 2107.03314

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

Yongming Wen·Huoxiong Wu
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Abstract

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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Yongming Wen, Huoxiong Wu. 2021-07-07. Bump conditions and two-weight inequalities for commutators of fractional integrals. https://arxiv.org/abs/2107.03314

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