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 2023Show all

2 papers · 1 filter

math.FA2023

On the growth rate of powers of a strongly Kreiss bounded operator on $L^{p}$ -spaces

Loris Arnold, Christophe Cuny

Let $T$ be a strongly Kreiss bounded linear operator on $L^{p}$ . We obtain a bound on the rate of growth of the norms of the powers of $T$ . The bound is optimal with respect to the p…

math.FA2023

Hankel operators on $L^{p} (R_{+})$ and their $p$ -completely bounded multipliers

Loris Arnold, Christian Le Merdy, Safoura Zadeh

We show that for any $1 < p < \infty$ , the space $H an k_{p} (R_{+}) \subseteq B (L^{p} (R_{+}))$ of all Hankel operators on $L^{p} (R_{+})$ is equal to the $w^{*}$ -closure of th…

On the growth rate of powers of a strongly Kreiss bounded operator on Lp-spaces

Hankel operators on Lp(R+​) and their p-completely bounded multipliers

On the growth rate of powers of a strongly Kreiss bounded operator on $L^{p}$ -spaces

Hankel operators on $L^{p} (R_{+})$ and their $p$ -completely bounded multipliers