Compactness Criteria in Function Spaces

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dc.creatorDörfler, Monika
dc.creatorFeichtinger, Hans G.
dc.creatorGröchenig, Karlheinz
dc.date2002-01-17
dc.date.accessioned2026-07-07T04:45:56Z
dc.date.available2026-07-07T04:45:56Z
dc.descriptionThe classical criterion for compactness in Banach spaces of functions can be reformulated into a simple tightness condition in the time-frequency domain. This description preserves more explicitly the symmetry between time and frequency than the classical conditions. The result is first stated and proved for L^2(R^d), and then generalized to coorbit spaces. As special cases, we obtain new characterizations of compactness in Besov-Triebel-Lizorkin spaces, modulation spaces and Bargmann-Fock spaces.
dc.identifierhttps://arxiv.org/abs/math/0201161
dc.identifierhttp://arxiv.org/abs/math/0201161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63139
dc.subjectFunctional Analysis
dc.subject46B50, 42B35
dc.titleCompactness Criteria in Function Spaces
dc.typetext

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