Besov continuity for pseudo-differential operators on compact homogeneous manifolds

被引：2

作者：

Cardona, Duvan ^{[1
]}

机构：

[1] Pontificia Univ Javeriana, Dept Math, Bogota, Colombia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2018年 / 9卷 / 04期

关键词：

Besov space; Compact homogeneous manifold; Pseudo-differential operators; Global analysis; FOURIER MULTIPLIERS; NIKOLSKII INEQUALITY; LIE-GROUPS; SPACES;

D O I：

10.1007/s11868-017-0226-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the Besov continuity of pseudo-differential operators on compact homogeneous manifolds M = G/K. We use the global quantization of these operators in terms of the representation theory of compact homogeneous manifolds.

引用

页码：861 / 880

页数：20

共 50 条

[1] Besov continuity for pseudo-differential operators on compact homogeneous manifolds
Duván Cardona
[J]. Journal of Pseudo-Differential Operators and Applications, 2018, 9 : 861 - 880
[2] Besov continuity of pseudo-differential operators on compact Lie groups revisited
Cardona, Duvan
[J]. COMPTES RENDUS MATHEMATIQUE, 2017, 355 (05) : 533 - 537
[3] Continuity in quasi-homogeneous Sobolev spaces for pseudo-differential operators with Besov symbols
Garello, Gianluca
Morando, Alessandro
[J]. MODERN TRENDS IN PSEUDO-DIFFERENTIAL OPERATORS, 2007, 172 : 161 - +
[4] Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups
Duván Cardona
[J]. Journal of Fourier Analysis and Applications, 2017, 23 : 1238 - 1262
[5] Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups
Cardona, Duvan
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2017, 23 (05) : 1238 - 1262
[6] Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
Kumar, Vishvesh
[J]. FORUM MATHEMATICUM, 2019, 31 (02) : 275 - 282
[7] Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups
Cardona, Duvan
Ruzhansky, Michael
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (07) : 1049 - 1082
[8] Continuity and compactness properties of pseudo-differential operators
Buzano, Ernesto
Toft, Joachim
[J]. PSEUDO-DIFFERENTIAL OPERATORS: PARTIAL DIFFERENTIAL EQUATIONS AND TIME-FREQUENCY ANALYSIS, 2007, 52 : 239 - 253
[9] LP-Continuity for pseudo-differential operators
Garello, Gianluca
Morando, Alessandro
[J]. PSEUDO-DIFFERENTIAL OPERATORS AND RELATED TOPICS, 2006, 164 : 79 - +
[10] Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups
Vishvesh Kumar
Shyam Swarup Mondal
[J]. Monatshefte für Mathematik, 2022, 197 : 149 - 176

← 1 2 3 4 5 →