Hausdorff measure of critical set for Luzin N condition

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F21%3A43901397" target="_blank" >RIV/60076658:12510/21:43901397 - isvavai.cz</a>

Alternative codes found

RIV/62690094:18470/21:50017997 RIV/00216208:11320/21:10438363

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0022247X20306909" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X20306909</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2020.124528" target="_blank" >10.1016/j.jmaa.2020.124528</a>

Result language

angličtina

Original language name

Hausdorff measure of critical set for Luzin N condition

Original language description

It is well-known that there is a Sobolev homeomorphism for any p&lt;n which maps a set C of zero Lebesgue n-dimensional measure onto a set of positive measure. We study the size of this critical set C and characterize its lower and upper bounds from the perspective of Hausdorff measures defined by a general gauge function.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Name of the periodical

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

—

Volume of the periodical

493

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

1-14

UT code for WoS article

000577330000015

EID of the result in the Scopus database

2-s2.0-85090365996