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Description
| - Let m < alpha < p and let f : R-n -> R-k be a s,p-quasicontinuous representative of a mapping in the Triebel-Lizorkin space F-p,q.(s) We find an optimal value of beta(n, m , p ,alpha , s) such that for H-beta a.e. y is an element of(0,1)(n-m) the Hausdorff dimension of f ((0,1)(m) x {y}) is at most alpha. We construct examples to show that the value of beta is optimal and we show that it does not increase once p goes below the critical value alpha.
- Let m < alpha < p and let f : R-n -> R-k be a s,p-quasicontinuous representative of a mapping in the Triebel-Lizorkin space F-p,q.(s) We find an optimal value of beta(n, m , p ,alpha , s) such that for H-beta a.e. y is an element of(0,1)(n-m) the Hausdorff dimension of f ((0,1)(m) x {y}) is at most alpha. We construct examples to show that the value of beta is optimal and we show that it does not increase once p goes below the critical value alpha. (en)
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Title
| - Dimension of images of subspaces under mappings in Triebel-Lizorkin spaces
- Dimension of images of subspaces under mappings in Triebel-Lizorkin spaces (en)
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skos:prefLabel
| - Dimension of images of subspaces under mappings in Triebel-Lizorkin spaces
- Dimension of images of subspaces under mappings in Triebel-Lizorkin spaces (en)
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skos:notation
| - RIV/00216208:11320/14:10283097!RIV15-MSM-11320___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/14:10283097
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Hausdorff dimension; Sobolev mapping (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - DE - Spolková republika Německo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Mathematische Nachrichten
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Hencl, Stanislav
- Honzík, Petr
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
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http://localhost/t...ganizacniJednotka
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