典型文献
Lp Boundedness of Fourier Integral Operators in the Class S0,0
文献摘要：
We first prove the L2-boundedness of a Fourier integral operator where it's symbol a ∈S01/2,1/2(Rn×Rn)and the phase function S is non-degenerate,satisfies certain conditions and may not be positively homogeneous in ξ-variables.Then we use the above property,Paley's inequality,covering lemma of Calderon and Zygmund etc.,and obtain the Lp-boundedness of Fourier integral operators if(1)the symbol a ∈ Λm0k and Supp a = E×Rn,with E a compact set of Rn(m0 =-|1/p-1/2|n,1＜p≤2,k＞n/2;2＜p＜∞,k＞n/p),(2)the symbol a ∈ Λm00,k,k'(m0 =-|1/p-1/2|n,1＜p≤2,k＞n/2,k'＞n/p;2＜p＜∞,k＞n/p,k'＞n/2)with the phase function S(x,ξ)= xξ+h(x,ξ),x,ξ ∈ Rn non-degenerate,satisfying certain conditions and ?ξh ∈ S01,0(Rn×Rn),or(3)the symbol a ∈ Λm00,k,k',the requirements for m0,k,k'are the same as in(2),and ?ξh is not in S01,0(Rn×Rn)but the phase function S is non-degenerate,satisfies certain conditions and is positively homogeneous in ξ-variables.
文献关键词：
中图分类号：
作者姓名：
Ing-Lung HWANG
作者机构：
Department of Mathematics,"National Chung Cheng University of Taiwan",Chiayi County 621003,China
文献出处：
引用格式：
[1]Ing-Lung HWANG-.Lp Boundedness of Fourier Integral Operators in the Class S0,0)[J].数学学报（英文版）,2022(09):1551-1596
A类：
Calderon,m0k,m00
B类：
Lp,Boundedness,Fourier,Integral,Operators,Class,We,first,prove,L2,boundedness,integral,where,symbol,S01,Rn,phase,function,degenerate,satisfies,certain,conditions,may,not,be,positively,homogeneous,variables,Then,we,use,above,property,Paley,inequality,covering,lemma,Zygmund,etc,obtain,operators,if,Supp,compact,set,+h,satisfying,requirements,are,same,but
AB值：
0.433433
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