Multiplication operators between different Wiener-type variation spaces

Astudillo-Villalba, Franklin R.; Ramos-Fernández, Julio C.; Salas-Brown, Margot

doi:10.1007/s12215-020-00565-8

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2022

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“…After we had submitted our paper to the journal, we found that Astudillo-Villalba et al had just published a paper concerning multiplication operators between different spaces of functions of Wiener bounded variation (see [9]). It is worth noting that the results established in [9] are contained in our results on multiplication operators acting in the spaces of functions of Young bounded variation.…”

Section: Added In the Proofmentioning

confidence: 99%

Multiplication operators in BV spaces

Reinwand

Kasprzak

2022

Annali di Matematica

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The aim of this paper is to provide necessary and sufficient conditions on the generator of a multiplication operator acting in the spaces of functions of bounded Young and Riesz variation so that it is, among other things, invertible, continuous, finite rank, compact, Fredholm or has closed range. Furthermore, we characterize various spectra of such operators and give some estimates on their measure of non-compactness.

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confidence: 99%