Off-diagonal estimates for bi-parameter commutators

Authors

  • Tuomas Oikari University of Jyväskylä, Department of Mathematics and Statistics

Keywords:

Calderón-Zygmund operators, singular integrals, multi-parameter analysis, commutators

Abstract

We study the boundedness of commutators of bi-parameter singular integrals between mixed spaces
[b,T]:Lp1Lp2Lq1Lq2
in the off-diagonal situation qi,pi(1,) where we allow qipi. Boundedness is fully characterized in terms of oscillatory testing conditions on the function b for a total seven out of the nine possible arrangements of the integrability exponents.
Section
Articles

Published

2022-12-31

How to Cite

Oikari, T. (2022). Off-diagonal estimates for bi-parameter commutators. Annales Fennici Mathematici, 48(1), 81–112. https://doi.org/10.54330/afm.125812