Details van artikel 129 van 269 gevonden artikelen
Mergelyan sets for certain classes of harmonic functions
Titel:
Mergelyan sets for certain classes of harmonic functions
Auteur:
Bonilla, A. Perez-Gonzalez, F. Trujillo-Gonzalez, R.
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 31 (1996) nr. 1 pagina's 9-18
Jaar:
1996-09
Inhoud:
In this paper we complete the description of Mergelyan sets for the harmonic Hardy space h∞(B) of bounded harmonic functions in the unit ball B of [image omitted] , initiated in [10]. We also characterize those relatively closed subsets X of a bounded open set ω in the complex plane such that any harmonic function f on ω can be approximated uniformly on compact subsets of ω by harmonic polynomials and, simultaneously, the same sequence of polynomials converges to f uniformly on x or in Lipschitz norm on X whenever, respectively, the restriction of f to X is uniformly continuous, or is in lip(αX), 0 > α > 1/2.
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 129 van 269 gevonden artikelen