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The unboundedness of Hausdorff operators on Quasi-Banach spaces
  • Weichao Guo,
  • Jianmiao Ruan,
  • Guoping Zhao
Weichao Guo
Jimei University
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Jianmiao Ruan
Zhejiang International Studies University
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Guoping Zhao
Xiamen University of Technology
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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.

Peer review status:UNDER REVIEW

27 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
04 Jul 2020Assigned to Editor
04 Jul 2020Submission Checks Completed
11 Jul 2020Reviewer(s) Assigned