On Transmutation Operators of the Generalized Bessel Operator in Spaces of Analytic Functions

被引：2

作者：

Linchuk, Yu. S. ^{[1
]}

机构：

[1] Chernivtsi Natl Univ, Dept Math Anal, Kotsjubynskoho 2, UA-58012 Chernovtsy, Ukraine

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 03期

关键词：

Generalized Bessel operator; space of analytic functions; transmutation operator; diagonal operators; hypercyclic operator; CONVOLUTION;

D O I：

10.1007/s00009-017-0920-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the conditions for the similarity of the generalized Bessel operator of m-th order to the operator of m-fold differentiation in the space of all m-even analytic functions in arbitrary domains. We investigate some properties of diagonal operators in this space. We also describe the commutant of the generalized Bessel operator. We investigate the hypercyclicity for the elements of the commutant of the generalized Bessel operator.

引用

页数：14

共 50 条

[1] On Transmutation Operators of the Generalized Bessel Operator in Spaces of Analytic Functions
Yu. S. Linchuk
[J]. Mediterranean Journal of Mathematics, 2017, 14
[2] Correction to: On Transmutation Operators of the Generalized Bessel Operator in Spaces of Analytic Functions
Yu. S. Linchuk
[J]. Mediterranean Journal of Mathematics, 2018, 15
[3] On Transmutation Operators of the Generalized Bessel Operator in Spaces of Analytic Functions (vol 14, 121, 2017)
Linchuk, Yu. S.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
[4] Hardy spaces of generalized analytic functions and composition operators
Pozzi, Elodie
[J]. CONCRETE OPERATORS, 2018, 5 (01): : 9 - 23
[5] Dynamics of the Basic Bessel Operator and Related Convolution Operators on Spaces of Entire Functions
Bennasr, Lassad
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (01) : 167 - 181
[6] Dynamics of the Basic Bessel Operator and Related Convolution Operators on Spaces of Entire Functions
Lassad Bennasr
[J]. Complex Analysis and Operator Theory, 2015, 9 : 167 - 181
[7] GENERALIZED INTEGRATION OPERATORS ON SOME BANACH SPACES OF ANALYTIC FUNCTIONS
Li, Mingshan
Wang, Zhenyou
[J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2023, 35 (03) : 339 - 353
[8] SOME APPLICATIONS FOR GENERALIZED FRACTIONAL OPERATORS IN ANALYTIC FUNCTIONS SPACES
Kilicman, Adem
Abdulnaby, Zainab E.
[J]. KOREAN JOURNAL OF MATHEMATICS, 2019, 27 (03): : 581 - 594
[9] Generalized Cesàro operator acting on Hilbert spaces of analytic functions
Mas, Alejandro
Merchan, Noel
de la Rosa, Elena
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2024, 15 (03)
[10] Generalized Bessel functions on symmetric spaces
Shimura, G
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1999, 509 : 35 - 66

← 1 2 3 4 5 →