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 2020Show all

2 papers · 1 filter

math.FA2020

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…

math.FA2020

Derivative bounded functional calculus of power bounded operators on Banach spaces

Loris Arnold

In this article we study bounded operators $T$ on Banach space $X$ which satisfy the discrete Gomilko Shi-Feng condition $$\int_{0}^{2π}|\langle R(re^{it},T)^{2}x,x^*\rangle |dt \l…

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

Derivative bounded functional calculus of power bounded operators on Banach spaces

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