129 citations · 466 across the 72 of their papers we have counts for
36 papers · 1 filter
Necessary conditions for deterministic and stochastic maximal regularity
Emiel Lorist, Jan van Neerven, Mark Veraar +1
We study the role of Banach space geometry in deterministic and stochastic maximal regularity. We first construct an example showing that the UMD assumption in the characterisation…
A solution to the inverse generator problem and related questions
Emiel Lorist, Martin Meyries, Mark Veraar
We give a negative solution to the inverse generator problem on Hilbert spaces. More precisely, we construct a bounded operator with dense range on a Hilbert space that gen…
Maximal regularity for evolution equations with critical singular perturbations
Esmée Theewis, Mark Veraar
Assuming has maximal -regularity, this paper investigates perturbations of by time-dependent operators that are unbounded and satisfy a critical -integrabilit…
Operator-valued Fourier multipliers of bounded s-variation
Chenxi Deng, Emiel Lorist, Mark Veraar
In this paper, we establish an operator-valued Fourier multiplier theorem in weighted Lebesgue spaces, Besov and Triebel--Lizorkin spaces, assuming the multiplier has …
Improved polynomial decay for unbounded semigroups
Chenxi Deng, Jan Rozendaal, Mark Veraar
We obtain polynomial decay rates for -semigroups, assuming that the resolvent grows polynomially at infinity in the complex right half-plane. Our results do not require the…
Functional calculus on weighted Sobolev spaces for the Laplacian on the half-space
Nick Lindemulder, Emiel Lorist, Floris Roodenburg +1
In this paper, we consider the Laplace operator on the half-space with Dirichlet and Neumann boundary conditions. We prove that this operator admits a bounded -calculus o…