On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions
This note verifies a conjecture of Král, that a continuously differentiable function, which is subharmonic outside its critical set, is subharmonic everywhere.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2020-04-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/145/1/mb145_1_7.pdf |
| _version_ | 1818417843307282432 |
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| author | Stephen J. Gardiner Tomas Sjödin |
| author_facet | Stephen J. Gardiner Tomas Sjödin |
| author_sort | Stephen J. Gardiner |
| collection | DOAJ |
| description | This note verifies a conjecture of Král, that a continuously differentiable function, which is subharmonic outside its critical set, is subharmonic everywhere. |
| first_indexed | 2024-12-14T12:13:13Z |
| format | Article |
| id | doaj.art-5ab623884dec41619eb0864e80500e64 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-12-14T12:13:13Z |
| publishDate | 2020-04-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-5ab623884dec41619eb0864e80500e642022-12-21T23:01:41ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362020-04-011451717310.21136/MB.2019.0104-18MB.2019.0104-18On a conjecture of Král concerning the subharmonic extension of continuously differentiable functionsStephen J. GardinerTomas SjödinThis note verifies a conjecture of Král, that a continuously differentiable function, which is subharmonic outside its critical set, is subharmonic everywhere.http://mb.math.cas.cz/full/145/1/mb145_1_7.pdf subharmonic function extension theorem |
| spellingShingle | Stephen J. Gardiner Tomas Sjödin On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions Mathematica Bohemica subharmonic function extension theorem |
| title | On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions |
| title_full | On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions |
| title_fullStr | On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions |
| title_full_unstemmed | On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions |
| title_short | On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions |
| title_sort | on a conjecture of kral concerning the subharmonic extension of continuously differentiable functions |
| topic | subharmonic function extension theorem |
| url | http://mb.math.cas.cz/full/145/1/mb145_1_7.pdf |
| work_keys_str_mv | AT stephenjgardiner onaconjectureofkralconcerningthesubharmonicextensionofcontinuouslydifferentiablefunctions AT tomassjodin onaconjectureofkralconcerningthesubharmonicextensionofcontinuouslydifferentiablefunctions |