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Multiplication operators between different Wiener-type variation spaces

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Abstract

In this article, we characterize all of the multipliers u which define continuous, invertible, finite and closed range, compact, and Fredholm multiplication operators \(M_{u}\) acting on two different spaces of functions of bounded p-variation in the sense of Wiener.

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Acknowledgements

The authors wish to express their sincere gratitude to the anonymous referee for his/her useful comments.

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Authors and Affiliations

  1. Instituto Superior de Formación Docente Salomé Ureña, Recinto Urania Montás, Investigation groups: GIIEUM, GIAM, San Juan de la Maguana, República Dominicana

    Franklin R. Astudillo-Villalba

  2. Proyecto Curricular de Tecnología en Electrónica, Facultad Tecnológica, Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Julio C. Ramos-Fernández

  3. Matemáticas Aplicadas y Ciencias de la Computación, Escuela de Ingeniería, Ciencia y Tecnología, Universidad del Rosario, Bogotá, Colombia

    Margot Salas-Brown

Authors
  1. Franklin R. Astudillo-Villalba
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  2. Julio C. Ramos-Fernández
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  3. Margot Salas-Brown
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Correspondence to Franklin R. Astudillo-Villalba.

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Astudillo-Villalba, F.R., Ramos-Fernández, J.C. & Salas-Brown, M. Multiplication operators between different Wiener-type variation spaces. Rend. Circ. Mat. Palermo, II. Ser 70, 1617–1632 (2021). https://doi.org/10.1007/s12215-020-00565-8

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