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...

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Bibliographic Details
Main Authors: Huali Wang, Ping Li
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023345?viewType=HTML