7 citations · 26 across the 9 of their papers we have counts for
11 papers
Hörmander functional calculus on UMD lattice valued spaces under generalised Gaussian estimates
Luc Deleaval, Mikko Kemppainen, Christoph Kriegler
We consider self-adjoint semigroups acting on and satisfying (generalised) Gaussian estimates, where is a metric measure space of homogeneous type of…
Admissible decomposition for spectral multipliers on Gaussian L^p
Mikko Kemppainen
This paper concerns harmonic analysis of the Ornstein--Uhlenbeck operator L on the Euclidean space. We examine the method of decomposing a spectral multiplier ϕ(L) into three parts…
An L^1-estimate for certain spectral multipliers associated with the Ornstein--Uhlenbeck operator
Mikko Kemppainen
We study a class of spectral multipliers ϕ(L) for the Ornstein--Uhlenbeck operator L arising from the Gaussian measure on R^n and find a sufficient condition for integrability of ϕ…
A note on local Hardy spaces
Mikko Kemppainen
We consider a non-negative self-adjoint operator L satisfying generalized Gaussian estimates on a doubling metric measure space, and show that if L has a spectral gap then the loca…
Wave extension problem for the fractional Laplacian
Mikko Kemppainen, Peter Sjögren, José Luis Torrea
We show that the fractional Laplacian can be viewed as a Dirichlet-to-Neumann map for a degenerate hyperbolic problem, namely, the wave equation with an additional diffusion term t…
On vector-valued tent spaces and Hardy spaces associated with non-negative self-adjoint operators
Mikko Kemppainen
In this paper we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued te…
Non-uniformly local tent spaces
Alex Amenta, Mikko Kemppainen
We develop a theory of `non-uniformly local' tent spaces on metric measure spaces. As our main result, we give a remarkably simple proof of the atomic decomposition.
Some remarks on the dyadic Rademacher maximal function
Mikko Kemppainen
Properties of a maximal function for vector-valued martingales were studied by the author in an earlier paper. Restricting here to the dyadic setting, we prove the equivalence betw…
The vector-valued tent spaces T^1 and T^\infty
Mikko Kemppainen
Tent spaces of vector-valued functions were recently studied by Hytönen, van Neerven and Portal with an eye on applications to H^\infty-functional calculi. This paper extends their…
On the relation of Carleson's embedding and the maximal theorem in the context of Banach space geometry
Tuomas Hytönen, Mikko Kemppainen
Hytönen, McIntosh and Portal (J. Funct. Anal., 2008) proved two vector-valued generalizations of the classical Carleson embedding theorem, both of them requiring the boundedness of…
On the Rademacher maximal function
Mikko Kemppainen
This paper studies a new maximal operator introduced by Hytönen, McIntosh and Portal in 2008 for functions taking values in a Banach space. The L^p-boundedness of this operator dep…