Listar por autor "Merchan-Alvarez, Noel"
Mostrando ítems 1-4 de 4
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Cesàro-like operators acting on spaces of analytic functions
Galanopoulos, Petros; Girela, Daniel; Merchan-Alvarez, 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-Alvarez, Daniel; Merchan-Alvarez, 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) ... -
Spaces of analytic functions and operators between them
Merchan-Alvarez, 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 ...