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The unboundedness of Hausdorff operators on Quasi-Banach spaces

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 Added by Weichao Guo
 Publication date 2020
  fields
and research's language is English




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In this note, we show that the Hausdorff operator $H_{Phi}$ is unbounded on a large family of Quasi-Banach spaces, unless $H_{Phi}$ is a zero operator.



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