International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 10, Pages 613-624
Szegő projections for hardy spaces of monogenic functions and applications
1Institute of Mathematics and Physics, Bauhaus-Universität Weimar, Coudraystr. 13b, Weimar 99421, Germany
2Department of Mathematics, The University of Arkansas at Fayetteville, Fayetteville 72701, AR, USA
Received 6 February 2001; Revised 12 June 2001
Copyright © 2002 Swanhild Bernstein and Loredana Lanzani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We introduce Szegő projections for Hardy spaces of monogenic
functions defined on a bounded domain in .
We use such projections to obtain explicit orthogonal
decompositions for . As an application, we obtain an
explicit representation of the solution of the Dirichlet problem
for balls and half spaces with , Clifford algebra-valued,