Title | On the theory of the boundary behavior of mappings of the Sovolev class on Riemann surfaces |
Publication Type | Journal Article |
Year of Publication | 2016 |
Authors | Volkov, SV, Ryazanov, VY |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2016.10.005 |
Issue | 10 |
Section | Mathematics |
Pagination | 5-9 |
Date Published | 10/2016 |
Language | Russian |
Abstract | In terms of dilatations, a number of criteria for a homeomorphic extension to the boundary of mappings in the Sobolev class between domains on Riemann surfaces are formulated. |
Keywords | boundary behavior, homeomorphic extension, Riemann surfaces, Sobolev classes, weakly flat boundaries |
References:
- Kovtonyuk D.A., Petkov Y.V., Ryazanov V.Y. Ukr. mat. zhurn., 2011, 63, No 8: 1078-1091 (in Russian).
- Kovtonyuk D.A., Petkov Y.V., Ryazanov V.Y. Ukr. mat. zhurn., 2012, 64, No 7: 932-944 (in Russian).
- Kovtonyuk D.A., Petkov Y.V., Ryazanov V.Y., Salymov R.R. Alhebra i Analyz, 2013, 25, Iss. 4: 101-124 (in Russian).
- Forster O. Rymanovy poverkhnosty, Moscow: Mir, 1980 (in Russian).
- Stoylov S. Lektsyy o topolohycheskykh pryntsypakh teoryy analytycheskykh funktsyy, Moscow: Nauka, 1964 (in Russian).
- Kovtonyuk D.A., Ryazanov V.Y. Ukr. mat. vestnyk, 2008, 5, No 2: 159-184 (in Russian).
- Ryazanov V.Y., Salymov R.R. Ukr. mat. vestnyk, 2007, 4, No 2: 199-234 (in Russian).
- Martio O., Ryazanov V., Srebro U., Yakubov E. Moduli in Modern Mapping Theory, New York: Springer, 2009.
- Kuratovskyy K. Topolohyya, T. 1, Moscow: Mir, 1966 (in Russian).
- Yhnat'ev A. A., Ryazanov V.Y. Ukr. mat. vestnyk, 2005, 2, No 3: 395-417 (in Russian).