Morrey空间上的广义分数积分算子及其双preduals

IF 1.6 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-07-11 DOI:10.1007/s13324-025-01091-5

Satoshi Yamaguchi, Eiichi Nakai

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引用次数: 0

摘要

本文证明了广义分数阶积分算子\(I_{\rho }\)在变生长条件广义Morrey空间上的有界性，这是对以往结果的改进，并在此基础上建立了\(I_{\rho }\)在广义Morrey空间的双前偶上的有界性。并利用对偶证明了\(I_{\rho }\)在它们的前对偶上的有界性。

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Generalized fractional integral operators on Morrey spaces and their bi-preduals

In this paper we prove the boundedness of the generalized fractional integral operator \(I_{\rho }\) on generalized Morrey spaces with variable growth condition, which is an improvement of previous results, and then, we establish the boundedness of \(I_{\rho }\) on their bi-preduals. We also prove the boundedness of \(I_{\rho }\) on their preduals by the duality.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.