2026-06-05T15:51:20Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/349872026-02-03T11:02:48Zcom_10630_2254col_10630_37953

Moreno, Álvaro Miguel Peláez-Márquez, José Ángel Taskinen, Jari 2024-11-04T12:20:24Z 2024-11-04T12:20:24Z 2024 Moreno, Á.M., Peláez, J.Á. & Taskinen, J. Bergman projection induced by radial weight acting on growth spaces. Annali di Matematica (2024). https://doi.org/10.1007/s10231-024-01518-z https://hdl.handle.net/10630/34987 https://doi.org/10.1007/s10231-024-01518-z Let ω be a radial weight on the unit disc of the complex plane D and denote by ω(r) = 1 r ω(s) ds the tail integrals. A radial weight ω belongs to the class D if satisfies the upper doubling condition sup 0<r< ∞. If ν or ω belongs to D , we describe the boundedness of the Bergman projection Pω induced by ω on the growth space L∞ ν = { f : f ∞,v = ess supz∈D| f (z)| ν(z) < ∞} in terms of neat conditions on the moments and/or the tail integrals of ω and ν. Moreover, we solve the analogous problem for Pω from L∞ ν to the Bloch type space B∞ ν = { f analytic inD : f B∞ ν = supz∈D(1 − |z|) ν(z)| f (z)| < ∞}. Similar questions for exponentially decreasing radial weights will also be studied. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Bergman, Espacios de ⁠Bergman projection induced by radial weight acting on growth spaces journal article