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oai:riuma.uma.es:10630/291052026-02-03T11:36:07Zcom_10630_2254col_10630_37953

A generalized Hilbert operator acting on conformally invariant spaces Girela-Álvarez, Daniel Merchán-Álvarez, Noel Hilbert, Operadores en espacio de 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. 2024-01-24T10:34:45Z 2024-01-24T10:34:45Z 2024-01-24T10:34:45Z 2018 journal article 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) https://hdl.handle.net/10630/29105 10.1215/17358787-2017-0023 eng open access Springer Basel AG