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

Mamedov, Farman I.; Zeren, Yusuf


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{
  "DOI": "10.7153/mia-19-01", 
  "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(.).", 
  "author": [
    {
      "family": "Mamedov", 
      "given": " Farman I."
    }, 
    {
      "family": "Zeren", 
      "given": " Yusuf"
    }
  ], 
  "container_title": "MATHEMATICAL INEQUALITIES & APPLICATIONS", 
  "id": "53621", 
  "issue": "1", 
  "issued": {
    "date-parts": [
      [
        2016, 
        1, 
        1
      ]
    ]
  }, 
  "page": "1-14", 
  "title": "ON BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR IN WEIGHTED Lp(.) SPACES", 
  "type": "article-journal", 
  "volume": "19"
}
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