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math.AP2022
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…
math.AP2022
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…