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arXiv · 2111.08530

Matrix dilation and Hausdorff operators on modulation spaces

Weichao Guo·Jiangkun Luo·Guoping Zhao
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Abstract

In this paper, we establish the asymptotic estimates for the norms of the matrix dilation operators on modulation spaces. As an application, we study the boundedness on modulation spaces of Hausdorff operators. The definition of Hausdorff operators are also revisited for fitting our study.

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Weichao Guo, Jiangkun Luo, Guoping Zhao. 2021-11-16. Matrix dilation and Hausdorff operators on modulation spaces. https://doi.org/10.1002/mma.8284

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