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oai:riuma.uma.es:10630/291522026-02-03T11:22:03Zcom_10630_2254col_10630_37953

A Hankel matrix acting on spaces of analytic functions. Girela-Álvarez, Daniel Merchán-Álvarez, Noel Hankel, Operadores de Hilbert, Operadores en espacio de Álgebra lineal Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/15630?template=romeo If μ is a positive Borel measure on the interval [0, 1) we let H_μ be the Hankel matrix { μ_{n,k} }_{n,k} with entries μ_{n,k} =μ_{n+k}, where, for μ_n denotes the moment of order n of μ. This matrix induces formally an operator on the space of all analytic functions in the unit disc D. This is a natural generalization of the classical Hilbert operator. In this paper we improve the results obtained in some recent papers concerning the action of the operators H_μ on Hardy spaces and on Möbius invariant spaces. 2024-01-24T18:00:14Z 2024-01-24T18:00:14Z 2017-06-17 2017-11-02 journal article Girela, D., Merchán, N. A Hankel Matrix Acting on Spaces of Analytic Functions. Integr. Equ. Oper. Theory 89, 581–594 (2017). https://doi.org/10.1007/s00020-017-2409-3 https://hdl.handle.net/10630/29152 10.1007/s00020-017-2409-3 eng open access Springer