Dilation operators in Besov spaces over local fields

被引：2

作者：

Ashraf, Salman ^{[1
]}

Jahan, Qaiser ^{[1
]}

机构：

[1] Indian Inst Technol Mandi, Sch Math & Stat Sci, Kamand 175005, Himachal Prades, India

来源：

ADVANCES IN OPERATOR THEORY | 2023年 / 8卷 / 02期

关键词：

Local fields; Besov spaces; Dilation operators; HAUSDORFF OPERATOR;

D O I：

10.1007/s43036-023-00255-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a dilation operator on Besov spaces B-r,t(s)(K)over local fields and estimate an operator norm on such a field for s > sigma(r )= max(1/r - 1, 0) which depends on the constant k unlike the case of Euclidean spaces. In Rn, it is independent of constant k, the constant appears for limiting case s = 0 and s = sigma(r). In local fields, the limiting case is still open.

引用

页数：13

共 50 条

[1] Dilation operators in Besov spaces over local fields
Salman Ashraf
Qaiser Jahan
Advances in Operator Theory, 2023, 8
[2] On Dilation Operators in Besov Spaces
Schneider, Cornelia
REVISTA MATEMATICA COMPLUTENSE, 2009, 22 (01): : 111 - 128
[3] Besov spaces and Herz spaces on local fields
Zhu, Yueping
Zheng, Weixing
Science in China, Series A: Mathematics, Physics, Astronomy, 41 (10): : 6 - 1060
[4] Besov spaces and Herz spaces on local fields
朱月萍
郑维行
Science China Mathematics, 1998, (10) : 1051 - 1060
[5] Besov spaces and Herz spaces on local fields
Yueping Zhu
Weixing Zheng
Science in China Series A: Mathematics, 1998, 41 : 1051 - 1060
[6] Besov spaces and Herz spaces on local fields
Zhu, YP
Zheng, WX
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (10): : 1051 - 1060
[7] Besov spaces and Herz spaces on local fields
朱月萍
郑维行
ScienceinChina,SerA., 1998, Ser.A.1998 (10) : 1051 - 1060
[8] Local solvability for a class of linear operators in Besov and Holder spaces
da Silva, Evandro Raimundo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 465 (01) : 175 - 195
[9] Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields
Salman Ashraf
Qaiser Jahan
Complex Analysis and Operator Theory, 2023, 17
[10] Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields
Ashraf, Salman
Jahan, Qaiser
COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (07)

← 1 2 3 4 5 →