6 papers
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…
Second Order Operators Subject to Dirichlet Boundary Conditions in Weighted Triebel-Lizorkin Spaces: Parabolic Problems
Nick Lindemulder
In this paper we consider second order parabolic partial differential equations subject to the Dirichlet boundary condition on smooth domains. We establish weighted -maximal…
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…
Weighted Estimates for Operator-Valued Fourier Multipliers
Stephan Fackler, Tuomas P. Hytönen, Nick Lindemulder
We establish Littlewood-Paley decompositions for Muckenhoupt weights in the setting of UMD spaces. As a consequence we obtain two-weight variants of the Mikhlin multiplier theorem…
The heat equation with rough boundary conditions and holomorphic functional calculus
Nick Lindemulder, Mark Veraar
In this paper we consider the Laplace operator with Dirichlet boundary conditions on a smooth domain. We prove that it has a bounded -calculus on weighted -spaces fo…