### 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)

### Cite this

**Szegö projections for hardy spaces of monogenic functions and applications.** / Bernstein, Swanhild; Lanzani, Loredana.

Research output: Contribution to journal › Article

*International Journal of Mathematics and Mathematical Sciences*, vol. 29, no. 10, pp. 613-624. https://doi.org/10.1155/S0161171202011870

}

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 -