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Listar por autor "Merchán-Álvarez, Noel"
Mostrando ítems 1-10 de 10
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A family of Dirichlet Morrey spaces.
Galanopoulos, Petros; Merchán-Álvarez, Noel; Siskakis, Aristomenis G. (Taylor & Francis, 2019-02-03)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
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-like operators acting on spaces of analytic functions
Galanopoulos, Petros; Girela-Álvarez, Daniel; Merchán-Álvarez, Noel (Springer, 2022-03-17)Let D be the unit disc in C. If μ is a finite positive Borel measure on the interval [0, 1) and f is an analytic function in D, f(z)=∑∞n=0anzn (z∈D), we define Cμ(f)(z)=∑n=0∞μn(∑k=0nak)zn,z∈D, where, for n≥0, μn denotes ... -
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 ... -
Hilbert-type operator induced by radial weight on Hardyspaces
Merchán-Álvarez, Noel; 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.
Merchán-Álvarez, Noel (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 ... -
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 ...