Off-diagonal estimates for commutators of bi-parameter singular integrals

Tuomas Oikari

Published 2020-10-04Version 1

We study the commutators $[b,T]$ of pointwise multiplications and bi-parameter Calder\'on-Zygmund operators and characterize their off-diagonal $L^{p_1}L^{p_2} \to L^{q_1}L^{q_2}$ boundedness in the range $(1,\infty)$ for several of the mixed norm integrability exponents.