4 citations · 7 across the 4 of their papers we have counts for
5 papers
Sharp Hardy-Leray inequality for solenoidal fields
Naoki Hamamoto
We compute the best constant in functional integral inequality called the Hardy-Leray inequalities for solenoidal vector fields on . This gives a solenoidal improveme…
Sharp Uncertainty Principle inequality for solenoidal fields
Naoki Hamamoto
This paper solves the version of Maz'ya's open problem (Integral Equations Operator Theory 2018) on the sharp uncertainty principle inequality \[\int_{\mathbb{R}^N}|\nabla {\…
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…
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…
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-…