Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

被引：0

作者：

Toft, Joachim ^{[1
]}

Bhimani, Divyang G. ^{[2
]}

Manna, Ramesh ^{[3
]}

机构：

[1] Linnaeus Univ, Dept Math, Vaxjo, Sweden

[2] Indian Inst Sci Educ & Res, Dept Math, Pune, Maharashtra, India

[3] OCC Homi Bhabha Natl Inst, Sch Math Sci, Natl Inst Sci Educ & Res Bhubaneswar, Jatni 752050, India

来源：

ANALYSIS AND APPLICATIONS | 2023年 / 21卷 / 02期

基金：

瑞典研究理事会;

关键词：

Modulation spaces; Gelfand-Shilov spaces; Wiener amalgam spaces; trace map; amplitude; pseudo-differential operators; INTEGRABLE GROUP-REPRESENTATIONS; TIME-FREQUENCY ANALYSIS; GELFAND-SHILOV SPACES; ALPHA-MODULATION; L-P; BOUNDEDNESS; CALCULUS; NUCLEARITY; CONTINUITY; TOEPLITZ;

D O I：

10.1142/S0219530522500063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deduce trace properties for modulation spaces (including certain Wiener-amalgam spaces) of Gelfand-Shilov distributions.We use these results to show that psi dos with amplitudes in suitable modulation spaces, agree with normal type psi dos whose symbols belong to (other) modulation spaces. In particular we extend earlier trace results for modulation spaces, to include quasi-Banach modulation spaces. We also apply our results to extend earlier results on Schatten-von Neumann and nuclear properties for psi dos with amplitudes in modulation spaces.

引用

页码：453 / 495

页数：43

共 60 条

[1] Pseudo-Differential Calculus in Anisotropic Gelfand-Shilov Setting [J].