Szegö projections for hardy spaces of monogenic functions and applications

Swanhild Bernstein; Loredana Lanzani

doi:10.1155/S0161171202011870

Szegö projections for hardy spaces of monogenic functions and applications

Swanhild Bernstein, Loredana Lanzani

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We introduce Szegö projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in □n. We use such projections to obtain explicit orthogonal decompositions for L 2 (bΩ). 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.

Original language	English (US)
Pages (from-to)	613-624
Number of pages	12
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	29
Issue number	10
DOIs	https://doi.org/10.1155/S0161171202011870
State	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

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abstract = "We introduce Szeg{\"o} projections for Hardy spaces of monogenic functions defined on a bounded domain Ω in □n. We use such projections to obtain explicit orthogonal decompositions for L 2 (bΩ). 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.",

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