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oai:riuma.uma.es:10630/312932026-02-03T10:58:04Zcom_10630_2254col_10630_37953

Generalized Cesàro operator acting on Hilbert spaces of analytic functions Mas, Alejandro Merchán-Álvarez, Noel De la Rosa, Elena Funciones analíticas 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 A2 ω induced by a radial weight ω in the unit disc D. We study the action of the operator Cω on weighted Hardy spaces of analytic functions Hγ , γ > 0 and on general weighted Bergman spaces A2 μ 2024-05-16T06:51:21Z 2024-05-16T06:51:21Z 2024-05-14 journal article Mas, A., Merchán, N. & de la Rosa, E. Generalized Cesàro operator acting on Hilbert spaces of analytic functions. Ann. Funct. Anal. 15, 56 (2024) https://hdl.handle.net/10630/31293 10.1007/s43034-024-00365-6 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer