Two-weight norm inequalities for some fractional type operators related to Schrödinger operator on weighted Morrey spaces

WU, Wanyu; ZHOU, Jiang

doi:10.3906/mat-2105-64

Turk J Math

2021

DOI: 10.3906/mat-2105-64

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Two-weight norm inequalities for some fractional type operators related to Schrödinger operator on weighted Morrey spaces

Wanyu WU,

Jiang ZHOU

Abstract: In this paper, we establish the two-weight norm inequalities for fractional maximal functions and fractional integral operators related to Schrödinger differential operator on weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class.

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2023

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Fractional integral associated with the Schrödinger operators on variable exponent space

Wang,

2023

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<abstract><p>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.</p></abstract>

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Fractional integral associated with the Schrödinger operators on variable exponent space

Wang,

2023

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Two-weight norm inequalities for some fractional type operators related to Schrödinger operator on weighted Morrey spaces

Abstract: In this paper, we establish the two-weight norm inequalities for fractional maximal functions and fractional integral operators related to Schrödinger differential operator on weighted Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class.

Cited by 1 publication

References 24 publications

Fractional integral associated with the Schrödinger operators on variable exponent space

Fractional integral associated with the Schrödinger operators on variable exponent space

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