Abstract
This article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A new type of two-weight extrapolation result is used to yield the quasi-Banach range of estimates.
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E. A. was supported by the Emil Aaltonen Foundation and by the Academy of Finland through the grant 327271.
K. L. was supported by the National Natural Science Foundation of China through project number 12001400.
While at the University of Helsinki H. M. was supported by the Academy of Finland through project numbers 294840 and 327271, and by the three-year research grant 75160010 of the University of Helsinki.
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Airta, E., Li, K. & Martikainen, H. Two-Weight Inequalities for Multilinear Commutators in Product Spaces. Potential Anal 59, 1745–1792 (2023). https://doi.org/10.1007/s11118-022-10032-x
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DOI: https://doi.org/10.1007/s11118-022-10032-x