微分形式上的p进弱中心Morrey空间

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-06

Jian ei Wang, Lin in Wang, Yuming Xing

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引用次数: 0

摘要

．本文将R n上的微分形式理论推广到p进数的域Q np。在qnp上推导了微分形式的嵌入不等式。然后，我们给出了p -aid -弱中心Morrey空间和p -adic -中心BMO空间在微分形式上的定义。给出了Hardy算子及其伴随算子在新空间中的有界性。最后，我们利用微分形式上的嵌入不等式给出了p进λ中心BMO空间中两个算子的刻画。

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P-adic weak central Morrey spaces on differential forms

. In this article, the theory of differential forms on R n was extended to the ﬁ led Q np of p -adic numbers. The imbedding inequalities for differential forms were derived on Q np . Then, we show the de ﬁ nitions of p -aidc weak central Morrey spaces and p -adic λ -central BMO spaces on differential forms. The boundedness of Hardy operator and its adjoint operator were given in the new space. Finally, we give the characterization of the two operators in p -adic λ -central BMO spaces by using imbedding inequalities on differential forms.

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.