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Gagliardo-Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00336111" target="_blank" >RIV/67985840:_____/10:00336111 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Gagliardo-Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions

  • Original language description

    We consider triples of Young functions satisfying standard growth conditions and corresponding Orlicz spaces with respect to polynomial weights. It is known that the multiplicative form of the Gagliardo-Nirenberg inequality cannot generally hold in Orlicz spaces, hence we tackle its additive version and show that it implies certain nonlinear variants of the usual multiplicative estimate known e.g. from Lebesgue spaces. We first study the case of first order derivatives and then we generalize the claimsto inequalities involving more general measures and higher order derivatives.

  • 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

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    362

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

  • UT code for WoS article

    000271878300017

  • EID of the result in the Scopus database