On sharp embeddings of Besov and Triebel-Lizorkin spaces in the subcritical case

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dc.creatorVybíral, Jan
dc.date2008-09-03
dc.date.accessioned2026-07-07T10:00:17Z
dc.date.available2026-07-07T10:00:17Z
dc.descriptionWe discuss the growth envelopes of Fourier-analytically defined Besov and Triebel-Lizorkin spaces $B^s_{p,q}(\R^n)$ and $F^s_{p,q}(\R^n)$ for $s=σ_p=n\max(\frac 1p-1,0)$. These results may be also reformulated as optimal embeddings into the scale of Lorentz spaces $L_{p,q}(\R^n)$. We close several open problems outlined already by H. Triebel in [H. Triebel, The structure of functions, Birkhäuser, Basel, 2001.] and explicitly formulated by D. D. Haroske in [D. D. Haroske, Envelopes and sharp embeddings of function spaces, Chapman & Hall / CRC, Boca Raton, 2007.].
dc.identifierhttps://arxiv.org/abs/0809.0570
dc.identifierhttp://arxiv.org/abs/0809.0570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168287
dc.subjectFunctional Analysis
dc.subject46E35, 46E30
dc.titleOn sharp embeddings of Besov and Triebel-Lizorkin spaces in the subcritical case
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