6 papers · 1 filter
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…
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 …
-calculus for the Dirichlet Laplacian on conical domains
Petru A. Cioica-Licht, Emiel Lorist, P. Tobias Werner
We establish boundedness of the -calculus for the Dirichlet Laplacian on conical domains in and corresponding wedges on -spaces with mixed weights. Th…
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…
Strongly Kreiss Bounded Operators in UMD Banach Spaces
Chenxi Deng, Emiel Lorist, Mark Veraar
In this paper we give growth estimates for for in the case is a strongly Kreiss bounded operator on a UMD Banach space . In several special cases we…
A discrete framework for the interpolation of Banach spaces
Nick Lindemulder, Emiel Lorist
We develop a discrete framework for the interpolation of Banach spaces, which contains the well-known real and complex interpolation methods, but also more recent methods like the…