The dilation property of modulation spaces and their inclusion relation with Besov spaces

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dc.creatorSugimoto, Mitsuru
dc.creatorTomita, Naohito
dc.date2006-06-08
dc.date.accessioned2026-07-07T07:17:03Z
dc.date.available2026-07-07T07:17:03Z
dc.descriptionWe consider the dilation property of the modulation spaces $M^{p,q}$. Let $D_λ:f(t)\mapsto f(λt)$ be the dilation operator, and we consider the behavior of the operator norm $\|D_λ\|_{M^{p,q}\to M^{p,q}}$ with respect to $λ$. Our result determines the best order for it, and as an application, we establish the optimality of the inclusion relation between the modulation spaces and Besov space, which was proved by Toft.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0606176
dc.identifierhttp://arxiv.org/abs/math/0606176
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113806
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject42B35
dc.titleThe dilation property of modulation spaces and their inclusion relation with Besov spaces
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