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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…
Pointwise Multiplication by the Characteristic Function of the Half-space on Anisotropic Vector-valued Function Spaces
Nick Lindemulder
We study the pointwise multiplier property of the characteristic function of the half-space on weighted mixed-norm anisotropic vector-valued function spaces of Bessel potential and…
An Intersection Representation for a Class of Anisotropic Vector-valued Function Spaces
N. Lindemulder
The main result of this paper is an intersection representation for a class of anisotropic vector-valued function spaces in an axiomatic setting à la HedbergNetrusov, which inc…
The UMD property for Musielak--Orlicz spaces
Nick Lindemulder, Mark Veraar, Ivan Yaroslavtsev
In this paper we show that Musielak--Orlicz spaces are UMD spaces under the so-called condition on the generalized Young function and its complemented function. We also prove…