8 citations · 30 across the 13 of their papers we have counts for
4 papers · 1 filter
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…