## Extrapolation of Carleson measures

Series
Analysis Seminar
Time
Monday, April 5, 2010 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 269
Speaker
Steven Hofmann – University of Missouri
Organizer
Michael Lacey
We discuss joint work with J.-M. Martell, in which werevisit the extrapolation method" for Carleson measures, originallyintroduced by John Lewis to proveA_\infty estimates for certain caloric measures, and we present a purely real variable version of the method. Our main result is a general criterion fordeducing that a weight satisfies a ReverseHolder estimate, given appropriate control by a Carleson measure.To illustrate the useof this technique,we reprove a well known theorem of R. Fefferman, Kenig and Pipherconcerning the solvability of the Dirichlet problem with data in some L^p space.