Listar por autor "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.

Galanopoulos, Petros; Girela-Álvarez, Daniel

(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-like operators acting on spaces of analytic functions

Galanopoulos, Petros; Girela-Álvarez, Daniel

(Springer, 2022-03-17)

Cesàro-type operators associated with Borel measures on the unit disc acting on some Hilbert spaces of analytic functions

Mas, Alejandro; 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) ...

Generalized Cesàro operator acting on Hilbert spaces of analytic functions

; De la Rosa, Elena (Springer, 2024-05-14)

Let D denote the unit disc in C. We define the generalized Cesàro operator as follows: Cω( f )(z) = 1 0 f (t z) 1 z z 0 Bω t (u) du ω(t)dt, where {Bω ζ }ζ∈D are the reproducing kernels of the Bergman space ...

Hankel matrices acting on the Hardy space H1 and on Dirichlet spaces.

(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 ...

Hilbert-type operator induced by radial weight on Hardyspaces

; Peláez-Márquez, José Ángel

; De la Rosa, Elena (Springer Nature, 2023-09-19)

We consider the Hilbert-type operator defined by Hω(f)(z)=∫10f(t)(1z∫z0Bωt(u)du)ω(t)dt, where {Bωζ}ζ∈D are the reproducing kernels of the Bergman space A2ω induced by a radial weight ω in the unit disc D. We prove ...

Mean Lipschitz spaces and a generalized Hilbert operator.

(Springer, 2018-02-28)

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.

Galanopoulos, Petros; Girela-Álvarez, Daniel

; 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 ...

Operators induced by radial measures acting on the Dirichlet space

; 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 ...

Pointwise multipliers between spaces of analytic functions.

Galanopoulos, Petros; 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 ...

Semigroups of composition operators in analytic Morrey spaces.

; Siskakis, Aristomenis G. (Springer Nature, 2020)

Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition ...

Spaces of analytic functions and operators between them