Rough singular integral operators with Hardy space function kernels on a product domain
Volume 73 / 1997
Colloquium Mathematicum 73 (1997), 15-23
DOI: 10.4064/cm-73-1-15-23
Abstract
In this paper we introduce atomic Hardy spaces on the product domain $S^{n-1}×S^{m-1}$ and prove that rough singular integral operators with Hardy space function kernels are $L^p$ bounded on $ℝ^{n} × ℝ^{m}$. This is an extension of some well known results.
