Quasibounded plurisubharmonic functions
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866915275834654720 |
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| author | Nilsson, Mårten Wikström, Frank |
| author_facet | Nilsson, Mårten Wikström, Frank |
| contents | We extend the notion of quasibounded harmonic functions to the plurisubharmonic setting. As an application, using the theory of Jensen measures, we show that certain generalized Dirichlet problems with unbounded boundary data admit unique solutions, and that these solutions are continuous outside a pluripolar set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_09505 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Quasibounded plurisubharmonic functions Nilsson, Mårten Wikström, Frank Complex Variables Primary 32U05, Secondary 32U15, 31C10, 31C05 We extend the notion of quasibounded harmonic functions to the plurisubharmonic setting. As an application, using the theory of Jensen measures, we show that certain generalized Dirichlet problems with unbounded boundary data admit unique solutions, and that these solutions are continuous outside a pluripolar set. |
| title | Quasibounded plurisubharmonic functions |
| topic | Complex Variables Primary 32U05, Secondary 32U15, 31C10, 31C05 |
| url | https://arxiv.org/abs/2005.09505 |