变指数空间上与Schrödinger算子相关的分数积分

IF 1 4区数学 Q1 MATHEMATICS

Electronic Research Archive 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

Electronic Research Archive MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

170