Singular integrals, wavelets and weak weights: some recent applications of adjacent and random dyadic techniques

Tuesday, February 16, 2016 - 2:00pm
Math Sci 111
Olli Tapiola
(University of Helsinki)

Different dyadic techniques are an inseparable part of modern-day  
harmonic analysis both in the Euclidean setting and in metric spaces.  
In this talk, we discuss how adjacent and random dyadic techniques can  
be used to prove weighted norm inequalities for rough homogeneous  
singular integral operators, to construct Hölder-continuous wavelet  
bases in metric spaces, and to study some properties of weak A_\infty  
weights in spaces of homogeneous type. The talk is based on joint work  
with T. Hytönen, L. Roncal and T. Anderson.

Event Type: