Traces of pluriharmonic functions on curves |
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| Authors: | Bo Berndtsson and Joaquim Bruna |
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| Institution: | (1) Department of Mathematics, Chalmers Institute of Technology, 41896 G?teborg, Sweden;(2) Department de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain |
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| Abstract: | We prove that, if γ is a simple smooth curve in the unit sphere inC
n, the space o pluriharmonic functions in the unit ball, continuous up to the boundary, has a trace of finite cof dimension
in the space of all continuous functions on the curve.
First author partially supported by the Swedish Natural Science Research Council. Second author partially supported by CICYT
grant PB85-0374. |
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| Keywords: | |
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