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The unboundedness of Hausdorff operators on quasi‐Banach spaces

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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. Click to show full abstract

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.

Keywords: hausdorff operators; unboundedness hausdorff; quasi banach; banach spaces

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021

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