首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Oscillatory Strongly Singular Integral Associated to the Convex Surfaces of Revolution
Authors:Jiecheng Chen  Shaoyong He  Xiangrong Zhu
Institution:Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
Abstract:Here we consider the following strongly singular integral TΩ,γ,α,βf(x,t)=∫Rnei|y|-βΩ(y/|y|)f(x-y,t-y(|y|))dy,where Ω∈ LP (Sn-1),p > 1,n > 1,α > 0 and γ is convex on (0,co).We prove that there exists A(p,n) > 0 such that if β > A(p,n) (1 +α),then TΩ,γ,α,β is bounded from L2 (Rn+1) to itself and the constant is independent of γ.Furthermore,when Ω ∈ C∞(sn-1),we will show that TΩ,γ,α,β is bounded from L2 (Rn+1) to itself only if β > 2α and the constant is independent of γ.
Keywords:Oscillatory strongly rough singular integral  rough kernel  surfaces of revolution
本文献已被 CNKI 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号