C. Kriegler

activity

20122026

most citedPaley-Littlewood decomposition for sectorial operators and interpolation spaces

24 citations · 36 across the 16 of their papers we have counts for

collaborators

19 papers

math.AP2026

Ornstein-Uhlenbeck semigroup maximal operator on weighted $L^{p}$ space

Christoph Kriegler, Jérémie Moukambi

Let $(H_t)_{t \geq 0}$ denote the standard Ornstein-Uhlenbeck semigroup over ambient space $R^{d}$ equipped with Gaussian measure $d γ (x) = e^{- ∣ x ∣^{2}} d x$ . Further…

math.CA2024

Functional calculus and semilinear evolution equations for the Taibleson operator on non-Archimedean local fields

Cédric Arhancet, Christoph Kriegler

For any non-Archimedean local field $K$ and any integer $n \geq 1$ , we show that the Taibleson operator admits a bounded $H^{\infty} (Σ_{θ})$ functional calculus on th…

math.CA2024

$q$ -variational H{ö}rmander functional calculus and Schr{ö}dinger and wave maximal estimates

Luc Deleaval, Christoph Kriegler

This article is the continuation of the work [DK] where we had proved maximal estimates $t > 0 sup ∣ m (t A) f ∣_{L^{p} (Ω, Y)} \leq C ∥ f ∥_{L^{p} (Ω, Y)}$ for sectorial o…

math.FA2023★ 1 cited

The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples

Cédric Arhancet, Lukas Hagedorn, Christoph Kriegler +1

This paper investigates the functional calculus of the harmonic oscillator on each Moyal-Groenewold plane, the noncommutative phase space which is a fundamental object in quantum m…

math.CA2023

Separating Fourier and Schur multipliers

Cédric Arhancet, Christoph Kriegler, Christian Le Merdy +1

Let $G$ be a locally compact unimodular group, let $1 \leq p < \infty$ ,let $ϕ \in L^{\infty} (G)$ and assume that the Fourier multiplier $M_{ϕ}$ associated with $ϕ$ is bounded on the noncomm…

math.FA2022★ 1 cited

Decomposable Fourier Multipliers and an Operator-Algebraic Characterization of Amenability