Carlos Pérez

most citedSharp weighted estimates for dyadic shifts and the

A_{2}

conjecture

27 citations · 59 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2011★ 12 cited

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…

math.CA2010★ 27 cited

Sharp weighted estimates for dyadic shifts and the $A_{2}$ conjecture

Tuomas Hytönen, Carlos Pérez, Sergei Treil +1

We give a self-contained proof of the $A_{2}$ conjecture, which claims that the norm of any Calderon-Zygmund operator is bounded by the first degree of the $A_{2}$ norm of the weight.…

math.AP2010★ 20 cited

On $A_{2}$ conjecture and corona decomposition of weights

Carlos Perez, Sergei Treil, Alexander Volberg

We consider here a problem of finding the sharp estimate for the boundedness of an arbitrary Calderón-Zygmund operator in $L^{2} (w)$ , $w \in A_{2}$ . We first prove that for $A_{2}$ weight…

Sharp weighted bounds involving A_\infty

Sharp weighted estimates for dyadic shifts and the A2​ conjecture

On A2​ conjecture and corona decomposition of weights

Sharp weighted estimates for dyadic shifts and the $A_{2}$ conjecture

On $A_{2}$ conjecture and corona decomposition of weights