1 citations · 2 across the 8 of their papers we have counts for
8 papers
On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights in the case of
Toshio Horiuchi
We study the Caffarelli-Kohn-Nirenberg type inequalities in the case of and generalize them adopting weight functions on with in . Here ${W}(R…
On the critical Caffarelli-Kohn-Nirenberg type inequalities involving super-logarithms
Hiroshi Ando, Toshio Horiuchi, Eiichi Nakai
We establish the Caffarelli-Kohn-Nirenberg type inequalities involving{ super-logarithms (infinitely iterated logarithms).} As a result the critical Caffarelli-Kohn-Nirenberg type…
On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights
Toshio Horiuchi
We will establish the Caffarelli-Kohn-Nirenberg type inequalities with non-doubling weights being permitted. The classical Caffarelli-Kohn-Nirenberg type inequalities are categoriz…
Generalized weighted Hardy's inequalities with compact perturbations
Hiroshi Ando, Toshio Horiuchi
In the present paper we shall study a variational problem relating the weighted Hardy inequalities with sharp missing terms. As weights we treat non-doubling functions of the dista…
Hardy's inequalities with non-doubling weights and sharp remainders
Toshio Horiuchi
In the present paper we shall establish n-dimensional Hardy's inequalities with non-doubling weight functions of the distance to the boundary, where the boundary is a class b…
Noncritical Weighted Hardy's Inequalities with compact perturbations
Hiroshi Ando, Toshio Horiuchi
Let be a bounded domain of whose boundary is a compact manifolds. In the present paper we shall study a variational problem relating the weighted…
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…
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…