Riemann Domains with Boundary of Capacity Zero

Hirotaka Fujimoto
<span title="">1971</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/354b2ocplvgx5caiktzsvnk7iy" style="color: black;">Nagoya mathematical journal</a> </i> &nbsp;
The well-known Thullen-Remmert-Stein's theorem ([9], [7]) asserts that, for a domainDinCNand ann-dimensional irreducible analytic setSinD, a purely n-dimensional analytic setAinD—Shas an essential singularity at any point in 5 ifAhas at least one essential singularity in S. In [1], E. Bishop generalized this to the case thatAhas the boundary of capacity zero in his sense. Afterwards, in [8], W. Rothstein obtained more precise informations on the essential singularities ofAunder the assumption
more &raquo; ... mA= 1. The main purpose in this paper is to generalize these Rothstein's results to the case of arbitrary dimensional analytic sets.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0027763000014501">doi:10.1017/s0027763000014501</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/obx4yeskr5cvzeek5pwrjudxu4">fatcat:obx4yeskr5cvzeek5pwrjudxu4</a> </span>
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