<p>In this paper, we investigate the strong and weak type boundedness of the fractional maximal operator in Musielak-Orlicz-Morrey spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness in less restrictive terms.</p>

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Boundedness of the fractional maximal operator on Musielak-Orlicz-Morrey spaces

  • Fatih Deringoz,
  • Kendal Dorak,
  • Vagif S. Guliyev

摘要

In this paper, we investigate the strong and weak type boundedness of the fractional maximal operator in Musielak-Orlicz-Morrey spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness in less restrictive terms.