Der-Chen Chang : Hardy spaces and Elliptic Boundary Value Problems

Posted by , part of the Departmental Colloquium.

At

Feb. 22, 2006, 3 p.m.

In

SEO 636

Abstract

Let D be an (appropriate) domain in n-dimensional Euclidean space with smooth boundary. In this talk, we shall discuss two questions. First, what are the possible (natural) notions of Hardy space that generalize the usual Hardy spaces on the whole space? For the second question consider the Dirichlet and Neumann problems for the domain D. In the context of the relevant Hardy spaces, can one obtain the boundedness of sharp estimates for the Green functionsof the Dirichlet and Neumann problems?