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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 ... -
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) ... -
Operators induced by radial measures acting on the Dirichlet space
Galanopoulos, Petros; Girela-Álvarez, Daniel; 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 ... -
Operators of Hilbert and Cesàro type acting on Dirichlet spaces
Galanopoulos, Petros; Girela-Álvarez, Daniel(Springer Nature, 2025)
If α > −1 the space of Dirichlet type D2 α consists of those functions f which are analytic in the unit disc D such that f belongs to the weighted Bergman space A2 α. The space D2 0 is the classical Dirichlet space D. If ... -
Semigroups of composition operators in analytic Morrey spaces.
Galanopoulos, Petros; Merchán-Álvarez, Noel; 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 ...