12 citations · 26 across the 16 of their papers we have counts for
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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…
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…
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…
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…