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arxiv: 1807.03497 · v1 · pith:YIWSAGORnew · submitted 2018-07-10 · 🧮 math.AP

Finsler Hardy-Kato's inequality

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keywords inequalitycontextfinslerciteconesdiscusseuclideanextends
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We prove an improved version of the trace-Hardy inequality, so-called Kato's inequality, on the half-space in Finsler context. The resulting inequality extends the former one obtained by \cite{AFV} in Euclidean context. Also we discuss the validity of the same type of inequalities on open cones.

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