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Fractional Hardy-type operators on homogeneous group with application to hyperbolic equations

delete2026-06-30
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PRE
AI
J
Juan Zhang
Q
Qianjun He *
DOI:10.1016/j.amc.2026.130209delete
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Abstract

Abstract

En 中文
In this paper, we study fractional Hardy-type operators on homogeneous groups, employing the calculus of variations to derive sharp bounds for related inequalities. Our results extend known inequalities and provide a more general framework for operators on non-Euclidean spaces. We also apply these results to the study of solutions to hyperbolic-type equations, offering new insights into their regularity and behavior.

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

B
beijing information science and technology university
Scholars:
369
Papers: 153
Citations: 0
B
beijing forestry university
Scholars:
1.8W
Papers: 1.1W
Citations: 3
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