About: Composition operator and Sobolev-Lorentz spaces

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.4064/sm221-3-1
Description	Let Omega, Omega' subset of R-n be domains and let f: Omega -> Omega' be a homeomorphism. We show that if the composition operator T-f : u -> u o f maps the Sobolev-Lorentz space WLn,q(Omega') to WLn,q(Omega) for some q not equal n then f must be a locally bilipschitz mapping. Let Omega, Omega' subset of R-n be domains and let f: Omega -> Omega' be a homeomorphism. We show that if the composition operator T-f : u -> u o f maps the Sobolev-Lorentz space WLn,q(Omega') to WLn,q(Omega) for some q not equal n then f must be a locally bilipschitz mapping. (en)
Title	Composition operator and Sobolev-Lorentz spaces Composition operator and Sobolev-Lorentz spaces (en)
skos:prefLabel	Composition operator and Sobolev-Lorentz spaces Composition operator and Sobolev-Lorentz spaces (en)
skos:notation	RIV/00216208:11320/14:10283099!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/12/0291), P(GAP201/12/0436), P(LL1203)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Hencl, Stanislav Malý, Jan Kleprlík, Luděk
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	8416
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/14:10283099
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Sobolev-Lorentz space; Lorentz space; composition operator (en)
http://linked.open.../riv/klicoveSlovo	Lorentz space Sobolev-Lorentz space composition operator
http://linked.open...odStatuVydavatele	PL - Polská republika
http://linked.open...ontrolniKodProRIV	[A5C197A6D4D2]
http://linked.open...i/riv/nazevZdroje	Studia Mathematica
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Properties of functions and mappings in Sobolev spaces Teorie reálných funkcí a deskriptivní teorie množin III Properties of weakly differentiable functions and mappings
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	221
http://linked.open...iv/tvurceVysledku	Hencl, Stanislav Malý, Jan Kleprlík, Luděk
http://linked.open...ain/vavai/riv/wos	000341222500001
issn	0039-3223
number of pages	21 (xsd:int)
http://bibframe.org/vocab/doi	10.4064/sm221-3-1
http://localhost/t...ganizacniJednotka	11320

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