"34"^^ . "255;284" . "P(GA201/06/0400), Z(AV0Z10190503)" . "0039-3223" . . "\u010Cl\u00E1nek se zab\u00FDv\u00E1 v\u011Btami o vno\u0159en\u00ED pro obecn\u00E9 prostory B\u011Bsovova a Lizorkin-Triebelova typu s dominuj\u00EDc\u00EDmi sm\u00ED\u0161en\u00FDmi derivacemi v prvn\u00EDm kritick\u00E9m p\u0159\u00EDpad\u011B. Jako c\u00EDlov\u00E9 prostory jsou zde u\u017Eity iterovan\u00E9 exponenci\u00E1ln\u00ED Orliczovy a Lorentz-Orliczovy prostory. Jsou studov\u00E1ny z\u00E1kladn\u00ED vlastnosti t\u011Bchto c\u00EDlov\u00FDch prostor\u016F. Speci\u00E1ln\u011B je provedeno srovn\u00E1n\u00ED s obvykl\u00FDmi exponenci\u00E1ln\u00EDmi prostory a je uk\u00E1z\u00E1no, \u017Ee takov\u00E9 iterovan\u00E9 klony jsou vhodn\u011Bj\u0161\u00ED vzhledem k diferenci\u00E1ln\u00EDm vlastnostem vno\u0159ovan\u00FDch prostor\u016F. Jsou dok\u00E1z\u00E1ny p\u0159esn\u00E9 v\u011Bty o vno\u0159en\u00ED a nalezeny odhady pro r\u016Fstov\u00E9 ob\u00E1lky."@cs . . "RIV/67985840:_____/07:00085967!RIV08-AV0-67985840" . "415294" . "Kritick\u00E1 vno\u0159en\u00ED s iterovan\u00FDmi p\u0159erovn\u00E1n\u00EDmi"@cs . "The paper deals with imbeddings of general spaces of Besov and Lizorkin-Triebel type with dominating mixed derivatives in the first critical case. Multivariate exponential Orlicz and Lorentz-Orlicz spaces are used as targets. Basic properties of the target spaces are studied, in particular, there are comparisons with usual exponential spaces in the paper, showing that the multivariate clones are in fact better adapted to the character of smoothness of the imbedded spaces. Sharp limiting imbedding theorems and estimates for the multivariate growth envelope functions are established." . . "Critical imbeddings with multivariate rearrangements"@en . . "Krbec, Miroslav" . "Kritick\u00E1 vno\u0159en\u00ED s iterovan\u00FDmi p\u0159erovn\u00E1n\u00EDmi"@cs . "2"^^ . . "Schmeisser, H.-J." . "Critical imbeddings with multivariate rearrangements" . "3" . . . "Studia mathematica" . "The paper deals with imbeddings of general spaces of Besov and Lizorkin-Triebel type with dominating mixed derivatives in the first critical case. Multivariate exponential Orlicz and Lorentz-Orlicz spaces are used as targets. Basic properties of the target spaces are studied, in particular, there are comparisons with usual exponential spaces in the paper, showing that the multivariate clones are in fact better adapted to the character of smoothness of the imbedded spaces. Sharp limiting imbedding theorems and estimates for the multivariate growth envelope functions are established."@en . "1"^^ . . "Sobolev spaces; Bessel potential spaces; Besov spaces"@en . "Critical imbeddings with multivariate rearrangements"@en . . . . "181" . . "PL - Polsk\u00E1 republika" . . . "Critical imbeddings with multivariate rearrangements" . "[E0CE33ED674C]" . . "RIV/67985840:_____/07:00085967" . . .