Baptiste Devyver

activity

20102025

most citedOptimal Hardy Weight for Second-Order Elliptic Operator: An Answer to a Problem of Agmon

130 citations · 151 across the 19 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.AP2013★ 1 cited

Optimal $L^{p}$ Hardy inequalities

Baptiste Devyver, Yehuda Pinchover

Let $\mathcal{Q}(φ):=\int_Ω\big(|\nabla φ|^p+V|φ|^p\big)\dnu$ on $\core$, and assume that $Q \geq 0$ . The aim of the paper is to obtain ''as large as possible" nonnegative…

math.FA2013

Hardy spaces and heat kernel regularity

Baptiste Devyver

In this paper, we show the equivalence between the boundedness of the Riesz transform $d Δ^{- 1/2}$ on $L^{p}$ , $p \in (2, p_{0})$ , and the equality $H^{p} = L^{p}$ , $p \in (2, p_{0})$ , in the class…

math.SP2013

A spectral result for Hardy inequalities

Baptiste Devyver

Let P be a linear, second order, elliptic operator satisfying a Hardy inequality with potential W (i.e. $P - W \geq 0$ ) and best constant $α$ . We give conditions so that the spectrum o…

Optimal Lp Hardy inequalities

Hardy spaces and heat kernel regularity

A spectral result for Hardy inequalities

Optimal $L^{p}$ Hardy inequalities