Exceptional Sets for Subharmonic Functions Pages 567-571

Exceptional Sets for Subharmonic Functions
Pages 567-571
Juhani Riihentaus

DOI: http://dx.doi.org/10.6000/1927-5129.2015.11.75

Published: 04 November 2015

Abstract: Blanchet has shown that hypersurfaces of class C1 are removable singularities for subharmonic functions, provided the considered subharmonic functions satisfy certain assumptions. Later we showed that, in certain cases, it is sufficient that the exceptional sets are of finite (n-1)-dimensional Hausdorff measure. Now we improve our results still further, relaxing our previous assumptions imposed on the considered subharmonic functions.

Keywords: Subharmonic, Hausdorff measure, exceptional sets.