The unboundedness of Hausdorff operators on quasi-Banach spaces

MATHEMATICAL METHODS IN THE APPLIED SCIENCES（2021）

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摘要

In this note, for a large family of quasi-Banach spaces, including local Hardy space h(p) and some inhomogeneous function spaces, we show that the Hausdorff operator H-phi is unbounded unless it is a zero operator.

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关键词

Hausdorff operator, local Hardy space, modulation space, unboundedness

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