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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 ... -
Operadores de superposición actuando entre espacios de funciones analíticas
Domínguez Molina, Salvador (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, 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 ... -
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 ...