52 citations · 367 across the 81 of their papers we have counts for
5 papers · 2 filters
On the Haar Shift representations of Calderón-Zygmund Operators
Tuomas Orponen
In connection with proving the A_2 conjecture in 2010, T. Hytönen obtained a representation of general Caldéron-Zygmund operators in terms of simpler operators known as Haar shifts…
A Characterization of the boundedness of the median maximal function on weighted L^p spaces
Henri Martikainen, Tuomas Orponen
We introduce and study the median maximal function \mathcal{M} f, defined in the same manner as the classical Hardy-Littlewood maximal function, only replacing integral averages of…
Tangent measures of non-doubling measures
Tuomas Orponen, Tuomas Sahlsten
We construct a non-doubling measure on the real line, all tangent measures of which are equivalent to Lebesgue measure.
Weak And Strong Type Estimates for Maximal Truncations of Calderón-Zygmund Operators on Weighted Spaces
Tuomas P. Hytönen, Michael T. Lacey, Henri Martikainen +4
For 1<p< \infty, weight w \in A_p, and any L ^2 -bounded Calderón-Zygmund operator T, we show that there is a constant C(T,P) so that we prove the sharp norm dependence on T_#, the…
Radial projections of rectifiable sets
Tuomas Orponen, Tuomas Sahlsten
We show that if no -plane contains almost all of an -rectifiable set , then there exists a single -plane such that the radial projection of …