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Composition operator and Sobolev-Lorentz spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283099" target="_blank" >RIV/00216208:11320/14:10283099 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.4064/sm221-3-1" target="_blank" >http://dx.doi.org/10.4064/sm221-3-1</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4064/sm221-3-1" target="_blank" >10.4064/sm221-3-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Composition operator and Sobolev-Lorentz spaces

  • Original language 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

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

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Studia Mathematica

  • ISSN

    0039-3223

  • e-ISSN

  • Volume of the periodical

    221

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    21

  • Pages from-to

    197-208

  • UT code for WoS article

    000341222500001

  • EID of the result in the Scopus database