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On quasi Dirichlet bounded harmonic functions

On quasi Dirichlet bounded harmonic functions

In the present paper we denote by $P$ , $B$ , $D,H$, $SPH$ and SBHy posi- tive, bounded, Dirichlet bounded, harmonic, superharmonic and subharmonic respectively.Let $R$ be a Riemann surface $\not\in O_{g}$ and let $\{R_{n}\}$ : $n=0,1$ , 2, $\cdots$ , be an exhaustion with compact analytic relative boundary $\partial …