Warianty tytułu
Języki publikacji
Abstrakty
It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.
Wydawca
Czasopismo
Rocznik
Tom
Numer
Opis fizyczny
Daty
zaakceptowano
2014-05-10
otrzymano
2014-10-29
online
2015-05-20
Twórcy
autor
-
Institute of Applied Mathematics and Mechanics, National Academy of Sciences
of Ukraine, 74 Roze Luxemburg Str., 83114, Donetsk, Ukraine
Bibliografia
- [1] Dovgoshey O., Martio O., Ryazanov V., Vuorinen M. The Cantor function, Expo. Math., 2006, 24, 1-37
- [2] Efimushkin A., Ryazanov V. On the Riemann-Hilbert problem for the Beltrami equations, Contemporary Mathematics (to appear),see also preprint http://arxiv.org/abs/1402.1111v3 [math.CV] 30 July 2014, 1-25
- [3] Garnett J.B., Marshall D.E. Harmonic Measure, Cambridge Univ. Press, Cambridge, 2005
- [4] Gehring F.W., On the Dirichlet problem, Michigan Math. J., 1955-1956, 3, 201
- [5] Goluzin G.M., Geometric theory of functions of a complex variable, Transl. of Math. Monographs, 26, American MathematicalSociety, Providence, R.I., 1969
- [6] Koosis P., Introduction to Hp spaces, 2nd ed., Cambridge Tracts in Mathematics, 115, Cambridge Univ. Press, Cambridge, 1998
- [7] Ryazanov V., On the Riemann-Hilbert Problem without Index, Ann. Univ. Bucharest, Ser. Math. 2014, 5, 169-178
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_math-2015-0034