Traces of pluriharmonic functions on curves

Bo Berndtsson Department of Mathematics, Chalmers Institute of Technology Joaquim Bruna Department de Matemàtiques, Universitat Autònoma de Barcelona

TBD mathscidoc:1701.332728

Arkiv for Matematik, 28, (1), 221-230, 1989.5
We prove that, if γ is a simple smooth curve in the unit sphere in$C$^{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.
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@inproceedings{bo1989traces,
  title={Traces of pluriharmonic functions on curves},
  author={Bo Berndtsson, and Joaquim Bruna},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203532757286537},
  booktitle={Arkiv for Matematik},
  volume={28},
  number={1},
  pages={221-230},
  year={1989},
}
Bo Berndtsson, and Joaquim Bruna. Traces of pluriharmonic functions on curves. 1989. Vol. 28. In Arkiv for Matematik. pp.221-230. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203532757286537.
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