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.
Citation: Huali Wang, Ping Li. Fractional integral associated with the Schrödinger operators on variable exponent space[J]. Electronic Research Archive, 2023, 31(11): 6833-6843. doi: 10.3934/era.2023345
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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Huali Wang, Ping Li. Fractional integral associated with the Schrödinger operators on variable exponent space[J]. Electronic Research Archive, 2023, 31(11): 6833-6843. doi: 10.3934/era.2023345
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