Boundedness of certain linear operators on twisted Fock spaces

被引：0

作者：

Garg, Rahul ^{[1
]}

Thangavelu, Sundaram ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res Bhopal, Dept Math, Bhopal 462066, India

[2] Indian Inst Sci, Dept Math, Bangalore 560012, India

来源：

MATHEMATISCHE ZEITSCHRIFT | 2024年 / 307卷 / 02期

关键词：

Weyl transform; Segal-Bargmann transform; Twisted Bergman spaces; Twisted Fock spaces; Uncertainty principle; WEYL TRANSFORM;

D O I：

10.1007/s00209-024-03500-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the twisted Fock spaces F-lambda(C-2n) we consider two types of convolution operators S-phi(lambda) and (sic)S-phi(lambda) associated to an element phi is an element of F-lambda(C-2n). We find a necessary and sufficient condition on phi so that S-phi(lambda)(resp. (sic)S-phi(lambda)) is bounded on F-lambda(C-2n). We show that for any given non constant phi at least one of these two operators is unbounded.

引用

页数：24

共 50 条

[1] BOUNDEDNESS AND COMPACTNESS OF HAUSDORFF OPERATORS ON FOCK SPACES
Blasco, Oscar
Galbis, Antonio
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024,
[2] Linear Operators on Fock Spaces
Zengjian Lou
Kehe Zhu
Senhua Zhu
[J]. Integral Equations and Operator Theory, 2017, 88 : 287 - 300
[3] Linear Operators on Fock Spaces
Lou, Zengjian
Zhu, Kehe
Zhu, Senhua
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 88 (02) : 287 - 300
[4] BOUNDEDNESS IN CERTAIN TOPOLOGICAL LINEAR SPACES
BARNES, BA
ROY, AK
[J]. STUDIA MATHEMATICA, 1969, 33 (02) : 147 - &
[5] THE BOUNDEDNESS OF CERTAIN OPERATORS ON HOLDER AND SOBOLEV SPACES
Su Weiyi (Nanjing University
[J]. Analysis in Theory and Applications, 1997, (01) : 18 - 32
[6] Boundedness criterion for integral operators on the fractional Fock–Sobolev spaces
Guangfu Cao
Li He
Ji Li
Minxing Shen
[J]. Mathematische Zeitschrift, 2022, 301 : 3671 - 3693
[7] Boundedness criterion for integral operators on the fractional Fock-Sobolev spaces
Cao, Guangfu
He, Li
Li, Ji
Shen, Minxing
[J]. MATHEMATISCHE ZEITSCHRIFT, 2022, 301 (04) : 3671 - 3693
[8] Linear operators in certain BK spaces
Malkowsky, E
[J]. APPROXIMATION THEORY AND FUNCTION SERIES, 1996, 5 : 259 - 273
[9] A GENERALIZATION OF THE BOUNDEDNESS OF CERTAIN INTEGRAL OPERATORS IN VARIABLE LEBESGUE SPACES
Susana Urciuolo, Marta
Alejandro Vallejos, Lucas
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02): : 547 - 557
[10] Boundedness of generalized Cesaro averaging operators on certain function spaces
Agrawal, MR
Howlett, PG
Lucas, SK
Naik, S
Ponnusamy, S
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 180 (02) : 333 - 344

← 1 2 3 4 5 →