From the 1 of 16 linked papers with an AI index.
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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 …
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…
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…