35 citations · 168 across the 31 of their papers we have counts for
15 papers · 1 filter
The bounds and are sharp
Emiel Lorist, Jan van Neerven
It was proved in the 1980s by Burkholder and Bourgain that, for any Banach space and , the UMD property for is equivalent to boundedness of the Hilbert tran…
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…
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…
Banach function spaces done right
Emiel Lorist, Zoe Nieraeth
In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues intro…
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…
Stein interpolation for the real interpolation method
Nick Lindemulder, Emiel Lorist
We prove a complex formulation of the real interpolation method, showing that the real and complex interpolation methods are not inherently real or complex. Using this complex form…
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.…
Singular stochastic integral operators
Emiel Lorist, Mark Veraar
In this paper we introduce Calderón-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove -extrapolation results under a Hörman…
The -boundedness of a family of integral operators on UMD Banach function spaces
Emiel Lorist
We prove the -boundedness of a family of integral operators with an operator-valued kernel on UMD Banach function spaces. This generalizes and simplifies earlier work by Ga…
Fourier multipliers in Banach function spaces with UMD concavifications
Alex Amenta, Emiel Lorist, Mark Veraar
We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-valued multipliers on Banach function spaces. Our results involve a new boundednes…
Rescaled extrapolation for vector-valued functions
Alex Amenta, Emiel Lorist, Mark Veraar
We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove…