. "Interpolation orbits and optimal Sobolev\u00B4s embeddings"@en . . "rearrangement invariant spaces; interpolation spaces; interpolation orbits"@en . . . . "1;17" . "Interpola\u010Dn\u00ED orbity a optim\u00E1ln\u00ED Sobolevova vno\u0159en\u00ED"@cs . . . "RIV/67985840:_____/07:00088741!RIV08-AV0-67985840" . "Interpolation orbits and optimal Sobolev\u00B4s embeddings"@en . "Ovchinnikov, V. I." . "427279" . "We consider Sobolev\u00B4s embeddings for spaces based on rearrangement invariant spaces (not necessarily with the Fatou property) on domains with a sufficiently smooth boundary in Rn. We show that each optimal embedding Wm E...G, where m < n, can be obtained by the real interpolation of the well-known endpoint embeddings. We also give an orbital description of the optimal range space in Sobolev\u00B4s embedding." . . "Gogatishvili, Amiran" . . . "Interpolation orbits and optimal Sobolev\u00B4s embeddings" . "17"^^ . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "We consider Sobolev\u00B4s embeddings for spaces based on rearrangement invariant spaces (not necessarily with the Fatou property) on domains with a sufficiently smooth boundary in Rn. We show that each optimal embedding Wm E...G, where m < n, can be obtained by the real interpolation of the well-known endpoint embeddings. We also give an orbital description of the optimal range space in Sobolev\u00B4s embedding."@en . . "1"^^ . . . "RIV/67985840:_____/07:00088741" . "Journal of Functional Analysis" . "Interpola\u010Dn\u00ED orbity a optim\u00E1ln\u00ED Sobolevova vno\u0159en\u00ED"@cs . "2"^^ . "Studujeme Sobolevova vno\u0159en\u00ED pro prostory vybudovan\u00E9 na prostorech s normou invariantn\u00ED v\u016F\u010Di nerostouc\u00EDmu p\u0159erovn\u00E1n\u00ED (kter\u00E9 nemus\u00ED nutn\u011B m\u00EDt Fatouovu vlastnost) na oblastech s dostate\u010Dn\u011B hladkou hranic\u00ED v Rn. Dok\u00E1\u017Eeme, \u017Ee v\u0161echna optim\u00E1ln\u00ED vno\u0159en\u00ED Wm E ... G, kde m < n, lze obdr\u017Eet re\u00E1lnou interpolac\u00ED zn\u00E1m\u00FDch krajn\u00EDch vno\u0159en\u00ED. Tak\u00E9 pod\u00E1me orbit\u00E1ln\u00ED popis optim\u00E1ln\u00EDho c\u00EDlov\u00E9ho prostoru v Sobolevov\u011B vno\u0159en\u00ED."@cs . "[7D6256A13315]" . . "1" . "0022-1236" . "P(GA201/05/2033), Z(AV0Z10190503)" . . . "253" . "Interpolation orbits and optimal Sobolev\u00B4s embeddings" . .