31 citations · 221 across the 34 of their papers we have counts for
4 papers · 1 filter
Foundations of vector-valued singular integrals revisited---with random dyadic cubes
Tuomas P. Hytönen
The vector-valued theorem due to Figiel, and a certain square function estimate of Bourgain for translations of functions with a limited frequency spectrum, are two cornerst…
Representation of singular integrals by dyadic operators, and the A_2 theorem
Tuomas P. Hytönen
This exposition presents a self-contained proof of the theorem, the quantitatively sharp norm inequality for singular integral operators in the weighted space . The s…
The A_p-A_infty inequality for general Calderon--Zygmund operators
Tuomas P. Hyt"onen, Michael T. Lacey
Let T be an arbitrary L^2 bounded Calderon--Zygmund operator, and T_# its maximal truncated version. Then T_# satisfies the following bound for all 1<p<\infty and all weights w\in…
Sharp weighted bounds involving A_\infty
Tuomas Hytönen, Carlos Pérez
We improve on several weighted inequalities of recent interest by replacing a part of the A_p bounds by weaker A_\infty estimates involving Wilson's A_\infty constant \[ [w]_{A_\in…