Regularity of geodesics in the spaces of convex and plurisubharmonic functions II
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916247488167936 |
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| author | Abja, Soufian Dinew, Slawomir |
| author_facet | Abja, Soufian Dinew, Slawomir |
| contents | In this note we continue our investigation of geodesics in the space of convex and plurisubharmonic functions. We show optimal regularity for geodesics joining two smooth strictly convex functions. We also investigate the regularity theory in the $C^{1,α}$ realm. Finally we discuss the regularity of geodesics joining two toric strictly plurisubharmonic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09248 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of geodesics in the spaces of convex and plurisubharmonic functions II Abja, Soufian Dinew, Slawomir Complex Variables Analysis of PDEs 35J96, 35J70 In this note we continue our investigation of geodesics in the space of convex and plurisubharmonic functions. We show optimal regularity for geodesics joining two smooth strictly convex functions. We also investigate the regularity theory in the $C^{1,α}$ realm. Finally we discuss the regularity of geodesics joining two toric strictly plurisubharmonic functions. |
| title | Regularity of geodesics in the spaces of convex and plurisubharmonic functions II |
| topic | Complex Variables Analysis of PDEs 35J96, 35J70 |
| url | https://arxiv.org/abs/2405.09248 |