Lp Bounds for Rough Maximal Operators along Surfaces of Revolution on Product Domains
Lp Bounds for Rough Maximal Operators along Surfaces of Revolution on Product Domains
In this paper, we study the boundedness of rough Maximal integral operators along surfaces of revolution on product domains. For several classes of surfaces, we establish appropriate Lp bounds of these Maximal operators under the assumption Ω∈Lq(Sm−1×Sn−1) for some q>1, and then we employ these bounds along with Yano’s extrapolation …