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arXiv · 1811.11588

$p$-adic singular integral and their commutator in generalized Morrey space

Huixia Mo·Zhe Han·Liu Yang
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Abstract

For a prime number $p,$ let $\mathbb{Q}_p$ be the field of $p$-adic numbers. In this paper, we established the boundedness of a class of $p$-adic singular integral operators on the $p$-adic generalized Morrey spaces. The corresponding boundedness for the commutators generalized by the $p$-adic singular integral operators and $p$-adic Lipschitz functions or $p$-adic generalized Campanato functions is also considered.

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Huixia Mo, Zhe Han, Liu Yang. 2018-11-28. $p$-adic singular integral and their commutator in generalized Morrey space. https://arxiv.org/abs/1811.11588

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