Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces

• Gabriel M Antón Marval ^[1] ; René E Castillo ^[2] ; Julio C Ramos-Fernández ^[3]
  1. [1] Universidad Nacional Experimental de Guayana

     Universidad Nacional Experimental de Guayana

     Venezuela

     
  2. [2] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
  3. [3] Universidad de Oriente

     Universidad de Oriente

     Venezuela

     

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• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 19, Nº. 1, 2017, págs. 39-51
• Idioma: inglés
• DOI: 10.4067/S0719-06462017000100003
• Enlaces
  • Texto completo
• Resumen
  • español

    Usando ciertas funciones analíticas maximales, obtenemos nuevas caracterizaciones de la continuidad y compacidad de operadores de composición con pesos cuando actúan entre espacios de Korenblum, espacios ω-Bloch y cuando actúan desde ciertos espacios de Banach de funciones analíticas con un peso logarítmico en espacios ω-Bloch. Como consecuencia de nuestros resultados, obtenemos una nueva caracterización de la continuidad y la compacidad de operadores de composición actuando entre espacios ω-Zygmund.

  • English

    Using certain maximal analytic functions, we obtain new characterizations of the continuity and compactness of the weighted composition operators when acts between Korenblum spaces, α-Bloch spaces and when acts from certain weighted Banach spaces of analytic functions with a logarithmic weight into α-Bloch spaces. As consequence of our results, we obtain a new characterization of the continuity and compactness of composition operators acting betweenα-Zygmund spaces.

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