Title: A Class of Maximal Operators Related to Rough Singular Integrals on Product Spaces
Abstract: This paper is concerned with studying the L p boundedness of a class of maximal operators S (γ) Ω related to rough singular integrals on product spaces.We obtain appropriate L p bounds for such maximal operators and establish the optimality of our condition on the kernel for the L 2 boundedness of S(2) Ω .Our results improve substantially the main result obtained by Ding in [8].