Embedding vector-valued Besov spaces into spaces of $γ$-radonifying operators

Simple item page
dc.creatorKalton, Nigel
dc.creatorvan Neerven, Jan
dc.creatorVeraar, Mark
dc.creatorWeis, Lutz
dc.date2006-10-20
dc.date.accessioned2026-07-07T07:29:15Z
dc.date.available2026-07-07T07:29:15Z
dc.descriptionIt is shown that a Banach space $E$ has type $p$ if and only for some (all) $d\ge 1$ the Besov space $B_{p,p}^{(\frac1p-\frac12)d}(\R^d;E)$ embeds into the space $\g(L^2(\R^d),E)$ of $\g$-radonifying operators $L^2(\R^d)\to E$. A similar result characterizing cotype $q$ is obtained. These results may be viewed as $E$-valued extensions of the classical Sobolev embedding theorems.
dc.descriptionTo appear in Mathematische Nachrichten
dc.identifierhttps://arxiv.org/abs/math/0610620
dc.identifierhttp://arxiv.org/abs/math/0610620
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118035
dc.subjectFunctional Analysis
dc.subject46B09; 46E35; 46E40
dc.titleEmbedding vector-valued Besov spaces into spaces of $γ$-radonifying operators
dc.typetext

Files

Collections

arXiv