Boundedness of Singular Integral Operators with Variable Kernels on Weighted Weak Hardy Spaces

Abstract EN

Let TΩ be the singular integral operator with variable kernel Ω(x,z).

In this paper, by using the atomic decomposition theory of weighted weak Hardy spaces, we will obtain the boundedness properties of TΩ on these spaces, under some Dini type conditions imposed on the variable kernel Ω(x,z).