微分形式上的p进弱中心Morrey空间

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.