RT Journal Article
T1 Integral Operators Induced by Symbols with Non-negative Maclaurin Coefficients Mapping into H∞
A1 Peláez-Márquez, José Ángel
A1 Rättyä, Jouni
A1 Fanglei, Wu
K1 Operadores integrales
AB For analytic functions g on the unit disk with non-negative Maclaurin coefficients, we describe the boundedness and compactness of the integral operator Tg( f )(z) =  z 0 f (ζ )g(ζ ) dζ from a space X of analytic functions in the unit disk to H∞, in terms of neat and useful conditions on the Maclaurin coefficients of g. The choices of X that will be considered contain the Hardy and the Hardy–Littlewood spaces, the Dirichlet-type spaces Dp  p−1, as well as the classical Bloch and BMOA spaces.
PB Springer
YR 2022
FD 2022-02-20
LK https://hdl.handle.net/10630/24192
UL https://hdl.handle.net/10630/24192
LA eng
NO Peláez, J.Á., Rättyä, J. & Wu, F. Integral Operators Induced by Symbols with Non-negative Maclaurin Coefficients Mapping into H∞. J Geom Anal 32, 148 (2022). https://doi.org/10.1007/s12220-022-00888-1
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026