Email this article On the Existence of Angular Boundary Values for Polyharmonic Functions in the Unit Ball
- Authors: Mazalov M.Y.1,2
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Affiliations:
- Smolensk Branch of Moscow Power Engineering Institute
- Bauman Moscow State Technical University
- Issue: Vol 234, No 3 (2018)
- Pages: 362-368
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241890
- DOI: https://doi.org/10.1007/s10958-018-4013-8
- ID: 241890
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Abstract
We study boundary properties of polyharmonic functions. In particular, a criterion is obtained (in terms of the radial growth of the derivative) for the existence a.e. of angular boundary values for a polyharmonic function bounded in the unit ball.
About the authors
M. Ya. Mazalov
Smolensk Branch of Moscow Power Engineering Institute; Bauman Moscow State Technical University
Author for correspondence.
Email: maksimmazalov@yandex.ru
Russian Federation, Smolensk; Moscow
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