RT Journal Article
T1 A generalized Hilbert operator acting on conformally invariant spaces
A1 Girela-Álvarez, Daniel
A1 Merchán-Álvarez, Noel
K1 Hilbert, Operadores en espacio de
AB If μ is a positive Borel measure on the interval [0,1), we let H_μ be the Hankel matrix with entries μ_{n,k}=μ_{n+k}, where μ_n denotes the moment of order n of the measure μ.This matrix formally induces an operator on the space of all analytic functions in the unit disk D. This is a natural generalization of the classical Hilbert operator. The action of the operators H_μ on Hardy spaces has been recently studied. This article is devoted to a study of the operators H_μ acting on certain conformally invariant spaces of analytic functions on the disk such as the Bloch space, the space BMOA, the analytic Besov spaces, and the Q_s-spaces.
PB Springer Basel AG
YR 2018
FD 2018
LK https://hdl.handle.net/10630/29105
UL https://hdl.handle.net/10630/29105
LA eng
NO Daniel Girela, Noel Merchán "A generalized Hilbert operator acting on conformally invariant spaces," Banach Journal of Mathematical Analysis, Banach J. Math. Anal. 12(2), 374-398, (April 2018)
NO - Proyecto del Ministerio de Economía y Competitividad MTM2014-52865-P.- Proyecto de la Junta de Andalucía FQM-210.- Ayuda FPU del Ministerio de Educación, Cultura y Deporte. FPU2013/01478.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026