RT Journal Article
T1 ⁠Bergman projection induced by radial weight acting on growth spaces
A1 Moreno, Álvaro Miguel
A1 Peláez-Márquez, José Ángel
A1 Taskinen, Jari
K1 Bergman, Espacios de
AB 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.
PB Springer
YR 2024
FD 2024
LK https://hdl.handle.net/10630/34987
UL https://hdl.handle.net/10630/34987
LA eng
NO 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
NO Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026