Loukas Grafakos and Atanas Stefanov
\newcommand{\pv}{p.v.}
\newcommand{\Om}{\Omega}
\newcommand{\nf}{\infty}
\newcommand{\sn}{\mathbf S^{n-1}}
Convolution type Calder\'on-Zygmund singular integral
operators with rough kernels $\pv \Om(x)/|x|^n$ are studied.
A condition on $\Om$ implying
that the corresponding singular integrals and
maximal singular integrals map
$L^p \to L^p$ for $1