On certain nonstandard Calderón-Zygmund operators
Volume 109 / 1994
Studia Mathematica 109 (1994), 105-131
DOI: 10.4064/sm-109-2-105-131
Abstract
We formulate a version of the T1 theorem which enables us to treat singular integrals whose kernels need not satisfy the usual smoothness conditions. We also prove a weighted version. As an application of the general theory, we consider a class of multilinear singular integrals in $ℝ^n$ related to the first Calderón commutator, but with a kernel which is far less regular.
