January 2, 2006

Andrei Lerner

Title: Sharp weighted norm inequalities for some classical operators in Harmonic Analisis

Abstract:

It is well known that many classical operators in Harmonic Analysis are bounded on the weighted space $ L^p_w$ if $ w$ satisfies the $ A_p$ condition of Muckenhoupt. However, for a given operator $ T$ it can be a very difficult problem to find the sharp dependence of the operator norm $ \Vert T\Vert _{L^p_w}$ on the $ A_p$-characteristic of $ w$. We shall discuss this problem for Calderón-Zygmund and Littlewood-Paley operators.