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 | |
| State | Published - 2002 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematics (miscellaneous)
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Szegö projections for hardy spaces of monogenic functions and applications. / Bernstein, Swanhild; Lanzani, Loredana.
In: International Journal of Mathematics and Mathematical Sciences, Vol. 29, No. 10, 2002, p. 613-624.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Szegö projections for hardy spaces of monogenic functions and applications
AU - Bernstein, Swanhild
AU - Lanzani, Loredana
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=4344641731&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4344641731&partnerID=8YFLogxK
U2 - 10.1155/S0161171202011870
DO - 10.1155/S0161171202011870
M3 - Article
AN - SCOPUS:4344641731
VL - 29
SP - 613
EP - 624
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
SN - 0161-1712
IS - 10
ER -