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arXiv · 2005.08003

Hausdorff operators on Lebesgue spaces with positive definite perturbation matrices are non-Riesz

A. R. Mirotin
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Abstract

We consider generalized Hausdorff operators with positive definite and permutable perturbation matrices on Lebesgue spaces and prove that such operators are not Riesz operators provided they are non-zero.

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A. R. Mirotin. 2020-05-16. Hausdorff operators on Lebesgue spaces with positive definite perturbation matrices are non-Riesz. https://arxiv.org/abs/2005.08003

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