Weichao Guo, Jianmiao Ruan, Guoping Zhao
Published 2020-06-15Version 1
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.
Norm of the Hausdorff operator on the real Hardy space $H^1(\mathbb R)$
Hausdorff operators on holomorphic Hardy spaces and applications
A note on complex interpolation and Calderón product of quasi-Banach spaces
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