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Sharp Hardy inequalities of fractional order involving slowly varying functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127324" target="_blank" >RIV/00216208:11320/12:10127324 - isvavai.cz</a>

  • Alternative codes found

    RIV/60460709:41310/12:54095

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jmaa.2011.08.031" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2011.08.031</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2011.08.031" target="_blank" >10.1016/j.jmaa.2011.08.031</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Sharp Hardy inequalities of fractional order involving slowly varying functions

  • Original language description

    We establish necessary and sufficient conditions for the validity of Hardy inequalities of fractional orders involving weights which are products of power-type functions and slowly varying functions. Consequently, for such weights, we solve Open Problems1 and 2 mentioned in the book of Kufner and Persson, Weighted Inequalities of Hardy Type (World Scientific Publishing, 2003).

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

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • 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

    386

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    10

  • Pages from-to

    728-737

  • UT code for WoS article

    000295563500021

  • EID of the result in the Scopus database