C. Merdy

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math.FA2025

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…

math.FA2025

$S^{1}$ -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…

math.FA2025

Functional calculus for a bounded $C_{0}$ -semigroup on Hilbert space

Loris Arnold, Christian Le Merdy

We introduce a new Banach algebra $A (C_{+})$ of bounded analytic functions on $C_{+} = {z \in C : Re (z) > 0}$ which is an analytic versio…

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

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

Functional calculus for a bounded C0​-semigroup on Hilbert space

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

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

Functional calculus for a bounded $C_{0}$ -semigroup on Hilbert space