Rough singular integrals associated to surfaces of revolution on product spaces
作者机构:Mathematics Program Department of Mathematics Statistics and Physics College of Arts and Sciences Qatar University Department of Mathematics Bryn Mawr College Department of Mathematics University of Pittsburgh
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2025年
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
摘 要:We study the Lpboundedness of singular integral operators along surfaces of revolution on product spaces. The Lpboundedness for these operators are obtained under very weak conditions on kernels. Our results are new and they improve several previously known results. Furthermore, they are natural extensions of many known results on singular integrals in the one-parameter setting and they subsume many other corresponding results on the product space setting.