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arXiv · 2005.03548

Off-diagonal estimates for bi-commutators

Emil Airta·Tuomas Hytönen·Kangwei Li·Henri Martikainen·Tuomas Oikari
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Abstract

We study the bi-commutators $[T_1, [b, T_2]]$ of pointwise multiplication and Calder\'on-Zygmund operators, and characterize their $L^{p_1}L^{p_2} \to L^{q_1}L^{q_2}$ boundedness for several off-diagonal regimes of the mixed-norm integrability exponents $(p_1,p_2)\neq(q_1,q_2)$. The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

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Emil Airta, Tuomas Hytönen, Kangwei Li, Henri Martikainen, Tuomas Oikari. 2020-05-07. Off-diagonal estimates for bi-commutators. https://doi.org/10.1093/imrn%2Frnab239

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