Modulus in Banach function spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10370792" target="_blank" >RIV/00216208:11320/17:10370792 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4310/ARKIV.2017.v55.n1.a5" target="_blank" >http://dx.doi.org/10.4310/ARKIV.2017.v55.n1.a5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4310/ARKIV.2017.v55.n1.a5" target="_blank" >10.4310/ARKIV.2017.v55.n1.a5</a>

Result language

angličtina

Original language name

Modulus in Banach function spaces

Original language description

Moduli of path families are widely used to mark curves which may be neglected for some applications. We introduce ordinary and approximative modulus with respect to Banach function spaces. While these moduli lead to the same result in reflexive spaces, we show that there are important path families (related to sets of codimension 1) which can be labelled as negligible by the aproximative modulus but not by the ordinary 1-modulus. For general codimensions the corresponding results are obtained with Lorentz spaces.

Czech name

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Czech description

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Type

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

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA15-08218S" target="_blank" >GA15-08218S: Theory of real functions and its applications in geometry</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

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

Name of the periodical

Arkiv for Matematik

ISSN

0004-2080

e-ISSN

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Volume of the periodical

55

Issue of the periodical within the volume

1

Country of publishing house

SE - SWEDEN

Number of pages

26

Pages from-to

105-130

UT code for WoS article

000424524100005

EID of the result in the Scopus database

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