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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Dirichlet and Hardy spaces of harmonic and monogenic functions
by
Swanhild Bernstein
TU Bergakademie Freiberg, Institute of Applied Analysis, D-09596 Freiberg
Coauthors: Klaus Gürlebeck, Bauhaus-Universität Weimar, Institute of Mathematics and Physics, Coudraystr. 13B, D-99421 Weimar

We characterize the Dirichlet spaces Dp of monogenic Clifford algebra valued functions in the unit ball in Rm+1 by the coefficients of a homogeneous series expansion. Further we characterize the Dirichlet space Dp, 0 < p < 1, of harmonic functions in the unit ball by their boundary behavoir and Carleson-type measures.

Date received: March 30, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqm-62.