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1 results

  • GENERALIZED MORREY SPACES OVER NONHOMOGENEOUS METRIC MEASURE SPACES

  • Part of
  • GUANGHUI LU, SHUANGPING TAO
  • Journal:
    Journal of the Australian Mathematical Society / Volume 103 / Issue 2 / October 2017
    Published online by Cambridge University Press:
    27 October 2016, pp. 268-278
    Print publication:
    October 2017
    • Article
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  • Let $({\mathcal{X}},d,\unicode[STIX]{x1D707})$ be a nonhomogeneous metric measure space satisfying the so-called upper doubling and the geometric doubling conditions. In this paper, the authors give the natural definition of the generalized Morrey spaces on $({\mathcal{X}},d,\unicode[STIX]{x1D707})$, and then investigate some properties of the maximal operator, the fractional integral operator and its commutator, and the Marcinkiewicz integral operator.