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ON BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR IN WEIGHTED Lp(.) SPACES

Mamedov, Farman I.; Zeren, Yusuf


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/53621</identifier>
  <creators>
    <creator>
      <creatorName>Mamedov, Farman I.</creatorName>
      <givenName>Farman I.</givenName>
      <familyName>Mamedov</familyName>
    </creator>
    <creator>
      <creatorName>Zeren, Yusuf</creatorName>
      <givenName>Yusuf</givenName>
      <familyName>Zeren</familyName>
      <affiliation>Yildiz Tech Univ Istanbul, Deportment Mathhemat, TR-34220 Davutpasha, Esenler, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Boundedness Of Fractional Maximal Operator In Weighted Lp(.) Spaces</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2016</publicationYear>
  <dates>
    <date dateType="Issued">2016-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
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  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.7153/mia-19-01</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">In this paper, we derive some sufficient conditions for the boundedness of the fractional maximal operator in the weighted variable exponent Lebesgue spaces L-p(.), where Sawyer's type pair of modular conditions are proposed on a weight functions and it is assumed a local log-regularity and a decay condition on the exponent function p(.).</description>
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