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p-进域上奇异积分算子与Lipschitz函数生成的交换子的有界性
Boundedness of Commutator Generatedby Singular Integral Operator and Lipschitz Function on the p-Adic Field

DOI: 10.12677/pm.2025.154138, PP. 351-362

Keywords: p-进域, 奇异积分算子, 交换子, Lipschitz空间, Campanato空间, Lebesgue空间
p-Adic Field
,Singular Integral Operator, Commutator, Lipschitz Space, Campanato Space, Lebesgue Space

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Abstract:

本文讨论了p-进域上的奇异积分算子与Lipschitz函数生成的交换子的有界性, 证明了交换子是从Lebesgue空间IJCampanato空间有界的。
In this paper, we discussed the boundedness of commutator generated by singular integral operator and Lipschitz function on the p-adic field. We proved that the commutator is bounded from Lebesgue space to certain Campanato space.

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