20.500.12556/RUL-177638 The nonhomogeneous Cauchy-Riemann equation on families of open Riemann surfaces In this paper, we use the nonhomogeneous Beltrami equation to give an optimal solution to the nonhomogeneous Cauchy-Riemann equation for continuous or smooth families of complex structures and $(0, 1)$-forms of a Hölder class on a smooth open orientable surface. As an application, we obtain the Oka-Grauert principle for complex line bundles on families of open Riemann surfaces. Riemann surfaces Cauchy-Riemann equation Oka-Grauert principle Oka manifold Riemannove ploskve Cauchy-Riemannova enačba princip Oka-Grauert mnogoterost Oka true false true Angleški jezik Slovenski jezik Članek v reviji 2025-12-30 12:25:50 2025-12-30 12:25:52 2026-06-12 04:18:36 0000-00-00 00:00:00 2026 0 0 7 str. iss. 1, art. 7 Vol. 12 Sep. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.5 2197-120X 10.1007/s40627-025-00189-7 263139843 s40627-025-00189-7.pdf s40627-025-00189-7.pdf 1 B6F95BE84EB3D9BCE5B8D93A3DBB05B3 0a6e6c273db9f2d5bb77f4d6046b850f3e3863237bd6f3040b3685ae66f48970 f3ad6833-659d-11f1-9b0d-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=235382 https://link.springer.com/article/10.1007/s40627-025-00189-7 1 d59d8a60-e571-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=224761 Fakulteta za matematiko in fiziko 0 0 0