Removability results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions, a survey
Abstract
We begin with an improvement to an extension result for subharmonic functions of Blanchet et al. With the aid of this improvement we then give extension results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions. Our results for holomorphic functions are related to Besicovitch's and Shiffman's well-known extension results, at least in some sense. Moreover, we recall another, slightly related and previous extension result for holomorphic functions.
Keywords
Cite
@article{arxiv.1607.07029,
title = {Removability results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions, a survey},
author = {Juhani Riihentaus},
journal= {arXiv preprint arXiv:1607.07029},
year = {2019}
}
Comments
An extended, enlarged and improved version of the author's talks in conferences in Lviv, May 30 - June 4, 2016, in Petrozavodsk, July 3 - 9, 2016, in Edmonton, July 17 - 21, 2017, in Lviv, September 18 - 23, 2017, and in Gelendzhik-Krasnodar, June 2 - 9, 2018. Especially, now extension results both for separately subharmonic functions and for separately harmonic functions are presented