| Naslov: | Runge and Mergelyan theorems on families of open Riemann surfaces |
|---|
| Avtorji: | ID Forstnerič, Franc (Avtor) |
|---|
| Datoteke: |  PDF - Predstavitvena datoteka, prenos (2,51 MB)
MD5: 17E6B77384E6F6ECA19FBA024E3045AF
 URL - Izvorni URL, za dostop obiščite https://www.sciencedirect.com/science/article/pii/S0001870826003580
|
|---|
| Jezik: | Angleški jezik |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
|
|---|
| Povzetek: | Given a smooth open oriented surface $X$, endowed with a family of complex structures $\{J_b\}_{b\in B}$ of some Hölder class and depending continuously or smoothly on the parameter $b$ in a suitable topological space $B$, we construct continuous or smooth families $F_b:X\to Y$, $b\in B$ of $J_b$-holomorphic maps to any Oka manifold $Y$, with approximation on a suitable family of compact Runge sets in $X$. Along the way, we prove Runge and Mergelyan approximation theorems and Weierstrass interpolation theorem for functions on such families. We include applications to the construction of families of directed holomorphic immersions and conformal minimal immersions to Euclidean spaces. |
|---|
| Ključne besede: | Riemann surfaces, Runge theorem, Mergelyan theorem, Oka manifold, Stein manifold, minimal surfaces |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 01.10.2026 |
|---|
| Leto izida: | 2026 |
|---|
| Št. strani: | 58 str. |
|---|
| Številčenje: | Vol. 502, part B, article no. 111137 |
|---|
| PID: | 20.500.12556/DiRROS-31290  |
|---|
| UDK: | 517.5 |
|---|
| ISSN pri članku: | 0001-8708 |
|---|
| DOI: | 10.1016/j.aim.2026.111137 |
|---|
| COBISS.SI-ID: | 285931523 |
|---|
| Datum objave v DiRROS: | 24.07.2026 |
|---|
| Število ogledov: | 142 |
|---|
| Število prenosov: | 148 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
