108 citations · 191 across the 22 of their papers we have counts for
24 papers
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…
Euclidean structures and operator theory in Banach spaces
Nigel J. Kalton, Emiel Lorist, Lutz Weis
We present a general method to extend results on Hilbert space operators to the Banach space setting by representing certain sets of Banach space operators on a Hilbert space.…
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds
Zdzislaw Brzezniak, Fabian Hornung, Lutz Weis
We prove pathwise uniqueness for solutions of the nonlinear Schrödinger equation with conservative multiplicative noise on compact 3D manifolds. In particular, we generalize the re…
Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space
Zdzislaw Brzezniak, Fabian Hornung, Lutz Weis
We consider a stochastic nonlinear Schrödinger equation with multiplicative noise in an abstract framework that covers subcritical focusing and defocusing stochastic NLS in o…
Spectral multiplier theorems via calculus and -bounds
Christoph Kriegler, Lutz Weis
We prove spectral multiplier theorems for Hörmander classes for 0-sectorial operators A on Banach spaces assuming a bounded calculus for some $σ…
Estimates for vector-valued holomorphic functions and Littlewood-Paley-Stein theory
Mark Veraar, Lutz Weis
In this paper we consider generalized square function norms of holomorphic functions with values in a Banach space. One of the main results is a characterization of embeddings of t…