A SHARP ITERATION PRINCIPLE FOR HIGHER-ORDER SOBOLEV EMBEDDINGS

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10292668" target="_blank" >RIV/00216208:11320/14:10292668 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

A SHARP ITERATION PRINCIPLE FOR HIGHER-ORDER SOBOLEV EMBEDDINGS

Original language description

We prove thereby that the well-known link between first-order Sobolev embeddings and isoperimetric inequalities translates to embeddings of any order, a fact that had not been known before. We show a general reduction principle that reduces Sobolev typeinequalities of any order involving arbitrary rearrangement-invariant norms on open sets in Rn, possibly endowed with a measure density and satisfying an isoperimetric inequality of fairly general type, to considerably simpler one-dimensional inequalities for suitable integral operators depending on the isoperimetric function of the relevant sets.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F08%2F0383" target="_blank" >GA201/08/0383: Function Spaces, Weighted Inequalities and Interpolation</a><br>

Continuities

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

Article name in the collection

Calculus of variations and PDEs

ISBN

978-83-86806-23-2

ISSN

0137-6934

e-ISSN

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Number of pages

22

Pages from-to

37-58

Publisher name

Banach Center Publications

Place of publication

Warsaw

Event location

Szczawnica

Event date

Jul 9, 2012

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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