Convolution Operators with Fractional Measures Associated to Holomorphic Functions

被引：0

作者：

E. Ferreyra

T. Godoy

M. Urciuolo

机构：

[1] Universidad Nacional De Córdoba,Facultad De Matemática, Astronomía y Física

来源：

Acta Mathematica Hungarica | 2001年 / 92卷

关键词：

Compact Subset; Complex Plane; Lebesgue Measure; Holomorphic Function; Borel Measure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let Ω be an open set in the complex plane and let ρ be a holomorphic function on Ω. Let K be a compact subset of Ω with nonempty interior such that 0 ∉ ∂K. Let μ be the Borel measure of R4 ≃ C2 given by

引用

页码：27 / 38

页数：11

共 50 条

[1] Convolution operators with fractional measures associated to holomorphic functions
Ferreyra, E
Godoy, T
Urciuolo, M
[J]. ACTA MATHEMATICA HUNGARICA, 2001, 92 (1-2) : 27 - 38
[2] Convolution operators on spaces of holomorphic functions
Lorson, Tobias
Mueller, Juergen
[J]. STUDIA MATHEMATICA, 2015, 227 (02) : 111 - 131
[3] Convolution operators associated with vector measures
Robdera, MA
Saab, P
[J]. GLASGOW MATHEMATICAL JOURNAL, 1998, 40 : 367 - 384
[4] CONVOLUTION OPERATORS ON G-HOLOMORPHIC FUNCTIONS IN INFINITE DIMENSIONS
BOLAND, PJ
DINEEN, S
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 190 (463) : 313 - 323
[5] Strongly Mixing Convolution Operators on Frechet Spaces of Holomorphic Functions
Muro, Santiago
Pinasco, Damian
Savransky, Martin
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2014, 80 (04) : 453 - 468
[6] Strongly Mixing Convolution Operators on Fréchet Spaces of Holomorphic Functions
Santiago Muro
Damián Pinasco
Martín Savransky
[J]. Integral Equations and Operator Theory, 2014, 80 : 453 - 468
[7] Components of linear fractional composition operators on spaces of holomorphic functions
Tien, Pham Trong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 524 (02)
[8] Convolution operators with singular measures of fractional type on the Heisenberg group
Godoy, Tomas
Rocha, Pablo
[J]. STUDIA MATHEMATICA, 2019, 245 (03) : 213 - 228
[9] CONVOLUTION OPERATORS ON G-HOLOMORPHIC FUNCTIONS IN INFINITE DIMENSIONS - PRELIMINARY REPORT
BOLAND, PJ
DINEEN, S
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (04): : A437 - A437
[10] VECTOR MEASURES OF BOUNDED SEMIVARIATION AND ASSOCIATED CONVOLUTION OPERATORS
Saab, Paulette
Robdera, Mangatiana A.
[J]. GLASGOW MATHEMATICAL JOURNAL, 2011, 53 : 333 - 340

← 1 2 3 4 5 →