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Compactness of Multiplication Operators on Riesz Bounded Variation Spaces

Martha Guzmán-Partida
Martha Guzmán-Partida
   | Jan 01, 2022
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Published Online: Jan 01, 2022
Page range: 167 - 174
Received: Dec 29, 2020
DOI: https://doi.org/10.2478/tmmp-2021-0012
Keywords
© 2021 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We prove compactness of the operator MhCg on a subspace of the space of 2π-periodic functions of Riesz bounded variation on [−π, π], for appropriate functions g and h. Here Mh denotes multiplication by h and Cg convolution by g.

eISSN:
1338-9750
Language:
English
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Journal Subjects:
Mathematics, General Mathematics
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