Compact multipliers on spaces of analytic functions

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dc.creatorMleczko, Paweł
dc.date2008-08-09
dc.date.accessioned2026-07-07T09:55:53Z
dc.date.available2026-07-07T09:55:53Z
dc.descriptionIn the paper compact multiplier operators on Banach spaces of analytic functions on the unit disk with the range in Banach sequence lattices are studied. If the domain space $X$ is such that $H_\infty\hookrightarrow X\hookrightarrow H_1$, necessary and sufficient conditions for compactness are presented. Moreover, the calculation of the Hausdorff measure of noncompactness for diagonal operators between Banach sequence lattices is applied to obtaining the characterization of compact multipliers in case the domain space $X$ satisfies $H_\infty\hookrightarrow X\hookrightarrow H_2$.
dc.identifierhttps://arxiv.org/abs/0808.1359
dc.identifierhttp://arxiv.org/abs/0808.1359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166786
dc.subjectFunctional Analysis
dc.subjectComplex Variables
dc.subject42B15, 42B30, 46E05, 7B10
dc.titleCompact multipliers on spaces of analytic functions
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