HIGHER-ORDER COMPACT EMBEDDINGS OF FUNCTION SPACES ON CARNOT-CARATHEODORY SPACES

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10390879" target="_blank" >RIV/00216208:11320/18:10390879 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1215/17358787-2018-0003" target="_blank" >https://doi.org/10.1215/17358787-2018-0003</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1215/17358787-2018-0003" target="_blank" >10.1215/17358787-2018-0003</a>

Result language

angličtina

Original language name

HIGHER-ORDER COMPACT EMBEDDINGS OF FUNCTION SPACES ON CARNOT-CARATHEODORY SPACES

Original language description

A sufficient condition for higher-order compact embeddings on bounded domains in Carnot-Caratheodory spaces is established for the class of rearrangement-invariant function spaces. The condition is expressed in terms of compactness of a suitable 1-dimensional integral operator depending on the isoperimetric function relative to the Carnot-Caratheodory structure of the relevant sets. The general result is then applied to particular Sobolev spaces built upon Lebesgue and 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

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

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

Name of the periodical

Banach Journal of Mathematical Analysis

ISSN

1735-8787

e-ISSN

—

Volume of the periodical

12

Issue of the periodical within the volume

4

Country of publishing house

IR - IRAN, ISLAMIC REPUBLIC OF

Number of pages

25

Pages from-to

970-994

UT code for WoS article

000445802000008

EID of the result in the Scopus database

2-s2.0-85055272262