Boundedness of singular integral operators with variable kernels on weighted weak Hardy spaces

Abstract

Let $T_{\Omega }$ be the singular integral operator with variable kernel $\Omega (x,z)$. In this paper, by using the atomic decomposition theory of weighted weak Hardy spaces, we will obtain the boundedness properties of $T_{\Omega }$ on these spaces, under some Dini type conditions imposed on the variable kernel $\Omega (x,z)$.

12 pages. arXiv admin note: substantial text overlap with arXiv:1207.1242, arXiv:1111.5075, arXiv:1010.0862

References in corpus (1)

• Sharp bounds for general commutators on weighted Lebesgue spaces