Fredholmness of pseudo-differential operators with nonregular symbols

被引：0

作者：

Yoshitomi, Kazushi ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math Sci, Minamiohsawa 1-1, Hachioji, Tokyo 1920397, Japan

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2023年 / 73卷 / 03期

关键词：

Fredholmness; pseudo-differential operator; nonregular symbol;

D O I：

10.21136/CMJ.2023.0387-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the Fredholmness of a pseudo-differential operator whose symbol is of class C-0,C-sigma, 0 < sigma < 1, in the spatial variable. Our work here refines the work of H. Abels, C. Pfeuffer (2020).

引用

页码：941 / 954

页数：14

共 50 条

[41] On the L p -boundedness of pseudo-differential operators with non-regular symbols
Tomita, Naohito
ARKIV FOR MATEMATIK, 2011, 49 (01): : 175 - 197
[42] BOUNDEDNESS OF PSEUDO-DIFFERENTIAL OPERATORS
CALDERON, AP
VAILLANCOURT, R
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1971, 23 (02) : 374 - +
[43] Shearlets and pseudo-differential operators
Daniel Vera
Collectanea Mathematica, 2017, 68 : 279 - 299
[44] Commutators of pseudo-differential operators
Yan Lin
Science in China Series A: Mathematics, 2008, 51 : 453 - 460
[45] Shearlets and pseudo-differential operators
Vera, Daniel
COLLECTANEA MATHEMATICA, 2017, 68 (02) : 279 - 299
[46] Sampling and Pseudo-Differential Operators
Mohammed, Alip
Wong, M. W.
NEW DEVELOPMENTS IN PSEUDO-DIFFERENTIAL OPERATORS, 2009, 189 : 323 - 332
[47] Computation of pseudo-differential operators
Bao, G
Symes, WW
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1996, 17 (02): : 416 - 429
[48] Computation of Pseudo-Differential Operators
SIAM J Sci Comput, 2 (416):
[49] Pseudo-Differential Operators on Z
Molahajloo, Shahla
PSEUDO-DIFFERENTIAL OPERATORS: COMPLEX ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 205 : 213 - 221
[50] Finite pseudo-differential operators
Jiawei Li
Journal of Pseudo-Differential Operators and Applications, 2015, 6 : 205 - 213

← 1 2 3 4 5 →