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Bilinear Calderón--Zygmund theory on product spaces
(2019-10)
We develop a wide general theory of bilinear bi-parameter singular integrals $T$. This includes general Calder\'on--Zygmund type principles in the bilinear bi-parameter setting:
easier bounds, like estimates in the Banach ...
$A_1$ theory of weights for rough homogeneous singular integrals and commutators
(2019)
Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $\BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved:
\[
\|T_\Omega ...