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On weighted critical imbeddings of Sobolev spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00358297" target="_blank" >RIV/67985840:_____/11:00358297 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00209-010-0684-7" target="_blank" >http://dx.doi.org/10.1007/s00209-010-0684-7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00209-010-0684-7" target="_blank" >10.1007/s00209-010-0684-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On weighted critical imbeddings of Sobolev spaces

  • Original language description

    A characterization of weights which do not change an exponential space up to equivalence of norms is given. Considering radial and non-increasing weights it is shown that there exists no effective weighted improvement of the standard target for the critical imbedding of Sobolev spaces. More generally, this holds also for general Besov and Lizorkin-Triebel spaces.

  • 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

    <a href="/en/project/GA201%2F06%2F0400" target="_blank" >GA201/06/0400: Modern methods in function spaces and applications</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematische Zeitschrift

  • ISSN

    0025-5874

  • e-ISSN

  • Volume of the periodical

    268

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    8

  • Pages from-to

    585-592

  • UT code for WoS article

    000290545000027

  • EID of the result in the Scopus database