Szegő projections for hardy spaces of monogenic functions and applications
Swanhild Bernstein1and Loredana Lanzani2
Received06 Feb 2001
Revised12 Jun 2001
Abstract
We introduce Szegő projections for Hardy spaces of monogenic
functions defined on a bounded domain Ω in ℝn.
We use such projections to obtain explicit orthogonal
decompositions for L2(bΩ). As an application, we obtain an
explicit representation of the solution of the Dirichlet problem
for balls and half spaces with L2, Clifford algebra-valued,
boundary datum.