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. © 2002 Hindawi Publishing Corporation. All rights reserved.
Bernstein, S., Lanzani, L. (2002). Szegö projections for hardy spaces of monogenic functions and applications. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 29(10), 613-624 [10.1155/S0161171202011870].
Szegö projections for hardy spaces of monogenic functions and applications
Lanzani L.
2002
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. © 2002 Hindawi Publishing Corporation. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
