12 citations · 26 across the 16 of their papers we have counts for
19 papers
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…
Common transversals for coset spaces of compact groups
Hiroshi Ando, Andreas Thom
Let be a Polish group and let be a compact subgroup. We prove that there exists a Borel set which is simultaneously a complete set of coset representat…
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…
Large scale geometry of Banach-Lie groups
Hiroshi Ando, Michal Doucha, Yasumichi Matsuzawa
We initiate the large scale geometric study of Banach-Lie groups, especially of linear Banach-Lie groups. We show that the exponential length, originally introduced by Ringrose for…
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…