1 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2021★ 1 cited
A curl-free improvement of the Rellich-Hardy inequality with weight
Naoki Hamamoto, Futoshi Takahashi
We consider the best constant in the Rellich-Hardy inequality (with a radial power weight) for curl-free vector fields on , originally found by Tertikas-Zographopoulo…
math.AP2019★ 1 cited
Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl
Naoki Hamamoto, Futoshi Takahashi
In this paper, we prove Hardy-Leray inequality for three-dimensional solenoidal (i.e., divergence-free) fields with the best constant. To derive the best constant, we impose the ax…
math.AP2018
Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields
Naoki Hamamoto, Futoshi Takahashi
In this paper, we prove Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields with sharp constants. This complements the former work by Costin-Maz'ya \cite{Costin-…