Off-diagonal estimates for commutators of bi-parameter singular integrals
Abstract
We study the boundedness of commutators of bi-parameter singular integrals between mixed spaces [b,T]: Lp1Lp2 Lq1Lq2 in the off-diagonal situation qi,pi∈(1,∞) where we also allow qi= pi. Boundedness is fully characterized for several arrangements of the integrability exponents with some open problems presented.
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