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math.AP2019
Kato's inequalities up to the boundary for a quasilinear elliptic operator
Toshio Horiuchi, Peter Kumlin
In a bounded smooth domain of Rn, we shall establish Kato's inequalities involving measures for p-Laplace operator up to the boundary under suitable assumptions. Keywords: Kato's i…
math.AP2019
One dimensional Weighted Hardy's Inequalities and application
Xiaojing Liu, Toshio Horiuchi, Hiroshi Ando
In the present paper we shall improve one dimensional weighted Hardy inequalities with one-sided boundary condition by adding sharp remainders. As an application, we shall establis…