Listar por autor "Girela-Álvarez, Daniel"
Mostrando ítems 1-11 de 11
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A generalized Hilbert operator acting on conformally invariant spaces
Girela-Álvarez, Daniel
; Merchán-Álvarez, Noel (Springer Basel AG, 2018)
If μ is a positive Borel measure on the interval [0,1), we let H_μ be the Hankel matrix with entries μ_{n,k}=μ_{n+k}, where μ_n denotes the moment of order n of the measure μ. This matrix formally induces an operator on ... -
A Hankel matrix acting on spaces of analytic functions.
Girela-Álvarez, Daniel; Merchán-Álvarez, Noel (Springer, 2017-11-02)
If μ is a positive Borel measure on the interval [0, 1) we let H_μ be the Hankel matrix { μ_{n,k} }_{n,k} with entries μ_{n,k} =μ_{n+k}, where, for μ_n denotes the moment of order n of μ. This matrix induces formally an ... -
Cesàro-type operators associated with Borel measures on the unit disc acting on some Hilbert spaces of analytic functions
Galanopoulos, Petros; Girela-Álvarez, Daniel; Merchán-Álvarez, Noel (Elsevier, 2023)
Given a complex Borel measure μon the unit disc D={z∈C:|z| <1}, we consider the Cesàro-type operator Cμdefined on the space Hol(D)of all analytic functions in Das follows: If f∈Hol(D), f(z) = ∞n=0anzn(z∈D), then Cμ(f)(z) ... -
Hankel matrices acting on the Hardy space H1 and on Dirichlet spaces.
Girela-Álvarez, Daniel; Merchán-Álvarez, Noel (Springer, 2018-12-03)
If μ is a positive Borel measure on the interval [0, 1) we let H_μ be the Hankel matrix H_μ={ μ_{n,k} }_{n,k} with entries μ_{n,k} =μ_{n+k} where μ_n denotes the moment of order n of μ. This matrix induces formally an ... -
Multipliers and integration operators between conformally invariant spaces.
Merchán-Álvarez, Noel; Girela-Álvarez, Daniel (Springer Nature, 2020)
In this paper we are concerned with two classes of conformally invariant spaces of analytic functions in the unit disc D, the Besov spaces Bp (1 <= p < inf) and the Qs spaces (0<s< inf). Our main objective is to characterize ... -
Operadores de superposición actuando entre espacios de funciones analíticas
(UMA Editorial, 2021-02-23)En esta Tesis se estudia la acción de operadores de superposición y operadores de superposición ponderados entre distintos espacios de funciones holomorfas en el disco unidad del plano complejo. -
Operators induced by radial measures acting on the Dirichlet space
Galanopoulos, Petros; Girela-Álvarez, Daniel; Mas, Alejandro; Merchán-Álvarez, Noel (Springer, 2023)
Let D be the unit disc in the complex plane. Given a positive finite Borel measure μ on the radius [0, 1), we let μn denote the n-th moment of μ and we deal with the action on spaces of analytic functions in D of the ... -
Operators of Hilbert and Cesàro type acting on Dirichlet spaces
Galanopoulos, Petros; Girela-Álvarez, Daniel (Springer Nature, 2025)
If α > −1 the space of Dirichlet type D2 α consists of those functions f which are analytic in the unit disc D such that f belongs to the weighted Bergman space A2 α. The space D2 0 is the classical Dirichlet space D. If ... -
Pointwise multipliers between spaces of analytic functions.
Girela-Álvarez, Daniel; Merchán-Álvarez, Noel (Taylor & Francis, 2023-07-13)
A Banach space X of analytic function in D, the unit disc in C, is said to be admissible if it contains the polynomials and convergence in X implies uniform convergence in compact subsets of D. If X and Y are two admissible ... -
Spaces of analytic functions and operators between them
Merchán-Álvarez, Noel (UMA Editorial, 2018-06-26)
Esta tesis está dedicada al estudio de ciertos operadores actuando en espacios de funciones analíticas en el disco unidad. El Capítulo 2 está dedicado al estudio de los operadores H_μ e I_μ en distintos espacios de ...