Approximation of entire functions over Carathéodory domains
نویسندگان
چکیده
منابع مشابه
On the approximation of entire functions over Carathéodory domains
Let D be a Carathéodory domain. For 1 ≤ p ≤ ∞, let Lp(D) be the class of all functions f holomorphic in D such that ‖f‖D,p = [ 1 A R R D |f(z)| p dx dy]1/p < ∞, where A is the area of D. For f ∈ Lp(D), set E n(f) = inf t∈πn ‖f − t‖D,p ; πn consists of all polynomials of degree at most n. In this paper we study the growth of an entire function in terms of approximation error in Lp-norm on D.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1982
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700005232