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math.AP2018
Extremal functions of generalized critical Hardy inequalities
Megumi Sano
In this paper, we show the existence and non-existence of minimizers of the following minimization problems which include an open problem mentioned by Horiuchi and Kumlin in 2012:…
math.AP2018
Finsler Hardy inequalities
A. Mercaldo, M. Sano, F. Takahashi
In this paper we present a unified simple approach to anisotropic Hardy inequalities in various settings. We consider Hardy inequalities which involve a Finsler distance from a poi…
math.AP2018★ 1 cited
Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation
Megumi Sano, Futoshi Takahashi
In this paper, we show a weighted Hardy inequality in a limiting case for functions in weighted Sobolev spaces with respect to an invariant measure. We also prove that the constant…