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Generalized Cesàro operator acting on Hilbert spaces of analytic functions
Mas, Alejandro; Merchán-Álvarez, Noel; De la Rosa, Elena (Springer, 2024-05-14)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 ... -
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 ...