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Two‐weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces

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  • Junren Pan
  • Wenchang Sun

Abstract

In this paper, we consider weighted norm inequalities for fractional maximal operators and fractional integral operators. For suitable weights, we prove the two‐weight norm inequalities for both operators on weighted Morrey spaces.

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  • Junren Pan & Wenchang Sun, 2020. "Two‐weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 293(5), pages 970-982, May.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:5:p:970-982
    DOI: 10.1002/mana.201800493
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    References listed on IDEAS

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    1. Dorothee D. Haroske & Leszek Skrzypczak, 2017. "Embeddings of weighted Morrey spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 290(7), pages 1066-1086, May.
    2. Yasuo Komori†Furuya & Enji Sato, 2017. "Weighted estimates for fractional integral operators on central Morrey spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 290(17-18), pages 2901-2908, December.
    3. Shohei Nakamura, 2016. "Generalized weighted Morrey spaces and classical operators," Mathematische Nachrichten, Wiley Blackwell, vol. 289(17-18), pages 2235-2262, December.
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