This chapter is devoted to the theory of \(\mathcal F\) -plurisubharmonic and \(\mathcal F\) -holomorphic functions, that is, the plurisubharmonic and holomorphic functions relative to the coarsest topology \(\mathcal F\) on \({\mathbb C}^n\) making continuous all plurisubharmonic functions.

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Fine Complex Potential Theory

  • Mohamed El Kadiri,
  • Bent Fuglede

摘要

This chapter is devoted to the theory of \(\mathcal F\) -plurisubharmonic and \(\mathcal F\) -holomorphic functions, that is, the plurisubharmonic and holomorphic functions relative to the coarsest topology \(\mathcal F\) on \({\mathbb C}^n\) making continuous all plurisubharmonic functions.