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.
Szegö projections for hardy spaces of monogenic functions and applications / Bernstein S.; Lanzani L.. - In: INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES. - ISSN 0161-1712. - STAMPA. - 29:10(2002), pp. 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.
