典型文献
Weighted Estimates for a Class of Global Maximal Operators Associated with Dispersive Equation
文献摘要：
For a function φ satisfying some suitable growth conditions,consider the following general disper-sive equation defined by{i?tu+φ((√-Δ)u=0,(x,t)∈Rn×R,(*)u(x,0)=f(x),f ∈ S(Rn),where φ(√-Δ)is a pseudo-differential operator with symbol φ(|ξ|).In the present paper,when the initial data f belongs to Sobolev space,we give the local and global weighted Lq estimate for the global maximal operator S**φ defined by S**φ f(x)=sup t∈R|St,φf(x)|,where
St,φf(x)=(2π)-n ∫Rneix·ξ+itφ(|ξ|)(f)(ξ)dξis a formal solution of the equation(*).
文献关键词：
中图分类号：
作者姓名：
Yong DING;Yao-ming NIU
作者机构：
School of Mathematical Sciences,Beijing Normal University;Labortory of Mathematics and Complex Systems (BNU),Ministry of Education,Beijing 100875,China;Faculty of Mathematics,Raotou Teachers' College of Inner Mongolia University of Science and Technology,Baotou 014030,China
文献出处：
引用格式：
[1]Yong DING;Yao-ming NIU-.Weighted Estimates for a Class of Global Maximal Operators Associated with Dispersive Equation)[J].应用数学学报（英文版）,2022(01):187-208
A类：
tu+,
St,Rneix,+it
B类：
Weighted,Estimates,Class,Global,Maximal,Operators,Associated,Dispersive,Equation,For,function,satisfying,some,suitable,growth,conditions,consider,following,general,disper,equation,defined,by,where,pseudo,differential,operator,symbol,In,present,paper,when,initial,data,belongs,Sobolev,space,give,local,global,weighted,Lq,estimate,maximal,sup,formal,solution
AB值：
0.644348
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