"3"^^ . "0021-9045" . "Journal of Approximation Theory" . "Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness" . . . "1"^^ . "10.1016/j.jat.2011.03.005" . "P(GA201/05/2033), P(GA201/08/0383), Z(AV0Z10190503), Z(MSM0021620839)" . . . . . . "Opic, B." . . "[FB431C5947ED]" . "We characterize local embeddings of Besov spaces B^{0,b}_{p,r} involving only a slowly varying smoothness b into classical Lorentz spaces. These results are applied to establish sharp local embeddings of the Besov spaces in question into Lorentz\u2013Karamata spaces. As a consequence of these results, we are able to determine growth envelopes of spaces B^{0,b}_{p,r} and to show that we cannot describe all local embeddings of Besov spaces B^{0,b}_{p,r} into Lorentz\u2013Karamata spaces in terms of growth envelopes." . "Besov spaces with generalized smoothness; classical Lorentz spaces; Lorentz-Karamata spaces; sharp embeddings; growth envelopes"@en . . "Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness" . "27"^^ . "Gogatishvili, Amiran" . . "We characterize local embeddings of Besov spaces B^{0,b}_{p,r} involving only a slowly varying smoothness b into classical Lorentz spaces. These results are applied to establish sharp local embeddings of the Besov spaces in question into Lorentz\u2013Karamata spaces. As a consequence of these results, we are able to determine growth envelopes of spaces B^{0,b}_{p,r} and to show that we cannot describe all local embeddings of Besov spaces B^{0,b}_{p,r} into Lorentz\u2013Karamata spaces in terms of growth envelopes."@en . "197321" . . "163" . . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . . "RIV/67985840:_____/11:00363305" . . "Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness"@en . . "RIV/67985840:_____/11:00363305!RIV12-AV0-67985840" . . "000295063500002" . . . "Caetano, A. M." . "10" . "Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness"@en . .