L. Arnold

activity

20182026

most cited

S^{1}

-bounded Fourier multipliers on

H^{1} (R)

and functional calculus for semigroups

2 citations · 2 across the 14 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.FA2022

Growth rate of eventually positive Kreiss bounded $C_{0}$ -semigroups on $L^{p}$ and $C (K)$

L. Arnold, C. Coine

In this paper, we compare several Cesàro and Kreiss type boundedness conditions for a $C_{0}$ -semigroup on a Banach space and we show that those conditions are all equivalent for a p…

math.FA2022

Behavior of Kreiss bounded $C_{0}$ -semigroups on a Hilbert space

Loris Arnold

Let $0 < α \leq 1$ . We prove that a $α$ -Kreiss bounded $C_{0}$ semigroup $(T_{t})_{t \geq 0}$ on a Hilbert space has asymptotics $∣∣ T_{t} ∣∣ = O (t^{α} / l o g (t))$ . Then, we give an…

math.FA2022★ 2 cited

$S^{1}$ -bounded Fourier multipliers on $H^{1} (R)$ and functional calculus for semigroups

Loris Arnold, Christian Le Merdy, Safoura Zadeh

Let $T : H^{1} (R) \to H^{1} (R)$ be a bounded Fourier multiplier on the analytic Hardy space $H^{1} (R) \subset L^{1} (R)$ and let $m\in L^\infty({\m…

Growth rate of eventually positive Kreiss bounded C0​-semigroups on Lp and C(K)

Behavior of Kreiss bounded C0​-semigroups on a Hilbert space

S1-bounded Fourier multipliers on H1(R) and functional calculus for semigroups

Growth rate of eventually positive Kreiss bounded $C_{0}$ -semigroups on $L^{p}$ and $C (K)$

Behavior of Kreiss bounded $C_{0}$ -semigroups on a Hilbert space

$S^{1}$ -bounded Fourier multipliers on $H^{1} (R)$ and functional calculus for semigroups