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

Showing math.CAShow all

6 papers · 1 filter

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.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.CA2022★ 2 cited

Maximal Hörmander Functional Calculus on Lp Spaces and UMD Lattices

Luc Deleaval, Christoph Kriegler

Let $A$ be a generator of an analytic semigroup having a H{ö}rmander functional calculus on $X = L^{p} (Ω, Y)$ , where $Y$ is a UMD lattice. Using methods from Banach space geometry in…

math.CA2019★ 1 cited

$H^{\infty}$ calculus for submarkovian semigroups on weighted $L^{2}$ spaces

Komla Domelevo, Christoph Kriegler, Stefanie Petermichl

Let $(T_{t})_{t \geq 0}$ be a markovian (resp. submarkovian) semigroup on some $σ$ -finite measure space $(Ω, μ)$ . We prove that its negative generator $A$ has a bounded $H^\infty(Σ_θ)…

math.CA2012

Hörmander Type Functional Calculus and Square Function Estimates

Christoph Kriegler

We investigate Hörmander spectral multiplier theorems as they hold on $X = L^{p} (Ω), 1 < p < \infty,$ for many self-adjoint elliptic differential operators $A$ including the standa…