Journal Article

Off-Diagonal Estimates for Bi-Commutators

International Mathematics Research Notices (2022) 2022(23) 18766-18832
DOI: 10.1093/imrn/rnab239
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Abstract

We study the bi-commutators [T1, [b, T2]] of pointwise multiplication and Calderón–Zygmund operators and characterize their Lp1Lp2 → Lq1Lq2 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p1, p2) ≠ (q1, q2). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.

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APA

Airta, E., Hytönen, T., Li, K., Martikainen, H., & Oikari, T. (2022). Off-Diagonal Estimates for Bi-Commutators. International Mathematics Research Notices, 2022(23), 18766–18832. https://doi.org/10.1093/imrn/rnab239

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