Szegő projections for hardy spaces of monogenic functions and applications

Autor: Swanhild Bernstein, Loredana Lanzani
Jazyk: angličtina
Rok vydání: 2002
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 10, Pp 613-624 (2002)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171202011870
Popis: 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.
Databáze: Directory of Open Access Journals