The unboundedness of Hausdorff operators on Quasi-Banach spaces

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.

References in corpus (1)

• Hausdorff operators on modulation and Wiener amalgam spaces