Mean Lipschitz spaces and a generalized Hilbert operator

• Autores: Noel Merchán
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 70, Fasc. 1, 2019, págs. 59-69
• Idioma: inglés
• DOI: 10.1007/s13348-018-0217-y
• Texto completo no disponible (Saber más ...)
• Resumen

  • If ? is a positive Borel measure on the interval [0, 1) we let ? be the Hankel matrix ?=(??,?)?,?≥0 with entries ??,?=??+? , where, for ?=0,1,2,… , ?? denotes the moment of order n of ? . This matrix induces formally the operator ?(?)(?)=∑?=0∞(∑?=0∞??,???)?? on the space of all analytic functions ?(?)=∑∞?=0???? , in the unit disc ? . This is a natural generalization of the classical Hilbert operator. In this paper we study the action of the operators ? on mean Lipschitz spaces of analytic functions.