变指数空间上与Schrödinger算子相关的分数积分

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/era.2023345

Huali Wang, Ping Li

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引用次数: 0

摘要

＆lt;abstract＆gt;＆lt; ＆gt;设$ \mathcal{L} = -\Delta+V $为$ \mathbb{R}^n $上的Schrödinger运算符，其非负势$ V $对于某些$ q \geq \frac{n}{2} $属于反向Hölder类$ RH_q $。证明了从强、弱变指数Lebesgue空间到合适的变指数Lipschitz型空间中与Schrödinger算子$ \mathcal{L} $相关的分数阶积分算子$ \mathcal{I}_\alpha $的有界性。＆lt;/p＆gt;＆lt;/abstract＆gt;

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Fractional integral associated with the Schrödinger operators on variable exponent space

Let $ \mathcal{L} = -\Delta+V $ be the Schrödinger operators on $ \mathbb{R}^n $ with nonnegative potential $ V $ belonging to the reverse Hölder class $ RH_q $ for some $ q \geq \frac{n}{2} $. We prove the boundedness of fractional integral operator $ \mathcal{I}_\alpha $ related to the Schrödinger operators $ \mathcal{L} $ from strong and weak variable exponent Lebesgue spaces into suitable variable exponent Lipschitz type spaces.

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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.