Szegő projections for hardy spaces of monogenic functions and applications

Swanhild Bernstein and Loredana Lanzani

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-12

Abstract:

We introduce Szegő projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in ℝ n . We use such projections to obtain explicit orthogonal decompositions for L 2 ( b Ω ) . As an application, we obtain an explicit representation of the solution of the Dirichlet problem for balls and half spaces with L 2 , Clifford algebra-valued, boundary datum.

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/29/427561.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/29/427561.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:427561

DOI: 10.1155/S0161171202011870

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().