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https://research.matf.bg.ac.rs/handle/123456789/3149| Title: | Isoperimetric inequality for harmonic Functions | Authors: | Mateljević, Miodrag Purtić, Bojana |
Keywords: | harmonic;isoperimetric;subharmonic | Issue Date: | 2025 | Rank: | M64 | Publisher: | Beograd : Matematički fakultet | Related Publication(s): | XV Simpozijum "Matematika i primene" : Knjiga apstrakata | Conference: | Simpozijum "Matematika i primene" (15 ; 2025 ; Beograd) | Abstract: | A version of isoperimetric inequality holds for function $f$ for which $log |f |$ is subharmonic. We characterize subclass of harmonic functions which has these properties. For the class of functions h(z1, . . ,zn), zi ∈ U, which separately has these properties, we prove a version of isoperimetric inequality. In addition, we prove a version of Gabriel’s theorem for the subclass of harmonic functions. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/3149 |
| Appears in Collections: | Research outputs |
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