Micro-Local Analysis with Fourier Lebesgue Spaces. Part I

被引：26

作者：

Pilipovic, Stevan ^{[2
]}

Teofanov, Nenad ^{[2
]}

Toft, Joachim ^{[1
,3
]}

机构：

[1] Linnaeus Univ, Dept Comp Sci Math & Phys, Vaxjo, Sweden

[2] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia

[3] Vaxjo Univ, Dept Math & Syst Engn, Vaxjo, Sweden

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2011年 / 17卷 / 03期

关键词：

Wave-front sets; Fourier-Lebesgue spaces; Modulation spaces; Pseudo-differential operators; Micro-local analysis; INTEGRABLE GROUP-REPRESENTATIONS; TIME-FREQUENCY ANALYSIS; PSEUDODIFFERENTIAL-OPERATORS; MODULATION SPACES; CONTINUITY PROPERTIES; GABOR FRAMES; CALCULUS;

D O I：

10.1007/s00041-010-9138-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let omega,omega (0) be appropriate weight functions and qa[1,a]. We introduce the wave-front set, WF(FL)q(w) of f is an element of S' with respect to weighted Fourier Lebesgue space FL (q)((w)). We prove that usual mapping properties for pseudo-differential operators Op (a) with symbols a in S-p,0((w0)) hold for such wave-front sets. Especially we prove that WFFL(w/w0)q (Op(a)f) subset of WFFL(w)q(f) subset of WF(FL()w/w(0))(q) (OP(a)f) U Char(a) (*) Here Char (a) is the set of characteristic points of a.

引用

页码：374 / 407

页数：34

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