Carleson measures in strongly pseudoconvex domains

Since 1962 Carleson measures were introduced to solve the corona problem, they have been both an important tool and an interesting mathematical object to study per se.

In this talk I will review some important characterizations of Carleson measures for Hardy or Bergman spaces of function in the unit disc or the unit ball, due to several authors.

Then I will expose our recent intrinsic characterization of Carleson measures for Bergman spaces in strongly pseudoconvex domains of C^n and related results.
(joint works with Marco Abate and Jasmin Raissy)