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arXiv · 2006.08139

The unboundedness of Hausdorff operators on Quasi-Banach spaces

Weichao Guo·Jianmiao Ruan·Guoping Zhao
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Abstract

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

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Weichao Guo, Jianmiao Ruan, Guoping Zhao. 2020-06-15. The unboundedness of Hausdorff operators on Quasi-Banach spaces. https://doi.org/10.1002/mma.7716

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