Dimension of images of subspaces under mappings in Triebel-Lizorkin spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283097" target="_blank" >RIV/00216208:11320/14:10283097 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1002/mana.201300015" target="_blank" >http://dx.doi.org/10.1002/mana.201300015</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.201300015" target="_blank" >10.1002/mana.201300015</a>

Result language

angličtina

Original language name

Dimension of images of subspaces under mappings in Triebel-Lizorkin spaces

Original language 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/LL1203" target="_blank" >LL1203: Properties of functions and mappings in Sobolev spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

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Volume of the periodical

287

Issue of the periodical within the volume

7

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

748-763

UT code for WoS article

000335666200003

EID of the result in the Scopus database

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