31 citations · 221 across the 34 of their papers we have counts for
6 papers · 1 filter
The A_2 theorem: Remarks and complements
Tuomas P. Hytönen
I give a mini-survey of several approaches to the theorem, biased towards the "corona" rather than the "Bellman" side of the coin. There are two new results (a streamlined fo…
The A_2 theorem with the Dini condition
Tuomas P. Hytönen
Let be an -bounded operator having an -Calderón--Zygmund kernel with a modulus of continuity . If satisfied the Dini condition $\int_0^1ω(t)\ud t/t<\infty$,…
The A_2 theorem and the local oscillation decomposition for Banach space valued functions
Timo S. Hänninen, Tuomas P. Hytönen
We prove that the operator norm of every Banach space valued Calderon-Zygmund operator T on the weighted Lebesgue-Bochner space depends linearly on the Muckenhoupt A_2 characterist…
What is a cube?
Tuomas Hytönen, Anna Kairema
We give an intrinsic characterization of all subsets of a doubling metric space that can arise as a member of some system of dyadic cubes on the underlying space, as constructed by…
Sharp Reverse Hölder property for A_\infty weights on spaces of homogeneous type
Tuomas Hytönen, Carlos Pérez, Ezequiel Rela
In this article we present a new proof of a sharp Reverse Hölder Inequality for weights that is valid in the context of spaces of homogeneous type. Then we derive two ap…
The local non-homogeneous Tb theorem for vector-valued functions
Tuomas P. Hytönen, Antti V. Vähäkangas
We extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. H…