Mostrando ítems 1-14 de 14

• #### A family of Dirichlet Morrey spaces. ﻿

To each weighted Dirichlet space D_p, 0<p<1, we associate a family of Morrey-type spaces D_{λ,p}, 0<λ<1, constructed by imposing growth conditions on the norm of hyperbolic translates of functions. We indicate some of the ...
• #### A generalized Hilbert operator acting on conformally invariant spaces ﻿

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. ﻿

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 ﻿

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 ﻿

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. ﻿

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 ﻿

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. ﻿

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 ﻿

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. ﻿

(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. ﻿

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 ﻿

(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 ...