Abstract
We study the bi-commutators [T-1, [b, T-2]] of pointwise multiplication and Calderon-Zygmund operators and characterize their (LLp2)-L-p1 -> (LLq2)-L-q1 boundedness for several off-diagonal regimes of the mixed-norm integrability exponents (p(1), p(2)) not equal (q(1), q(2)). The strategy is based on a bi-parameter version of the recent approximate weak factorization method.
Original language | English |
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Article number | 239 |
Journal | International Mathematics Research Notices |
Volume | 2022 |
Issue number | 23 |
Pages (from-to) | 18766–18832 |
Number of pages | 67 |
ISSN | 1073-7928 |
DOIs | |
Publication status | Published - 6 Dec 2022 |
MoE publication type | A1 Journal article-refereed |
Fields of Science
- 111 Mathematics
- Singular-integrals
- Product bmo
- Riesz commutators
- Covering lemma
- Calderon
- Extension