Abstract
In this article we consider classes of harmonic and subharmonic functions introduced with using integral operators Riman-Liouville by Professor M. Djrbashyan when α > 0. These classes are significant generalizations of already well known classes of harmonic and subharmonic functions match up with them only in a particular case. In our article we consider angular and chordal limits of harmonic and subharmonic functions got by using Riman-Liouville integral operators. A set of the points at which, probably, these limits don’t exist are characterized by using a linear measure of zero.
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Funding
This work was supported by the RA MES State Committee of Science, in the frames of the research project No 18T-1A019. This work was also supported by Russian—Armenian University, in the frames of the development project.
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Berberyan, S.L. Chordal and Angular Limits of Subordinate Subharmonic and Harmonic Functions. Lobachevskii J Math 40, 1034–1038 (2019). https://doi.org/10.1134/S1995080219080055
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DOI: https://doi.org/10.1134/S1995080219080055