سال انتشار: ۱۳۸۶

محل انتشار: سی و هشتمین کنفرانس ریاضی ایران

تعداد صفحات: ۳

نویسنده(ها):

T.G HONARY – Faculti of Mathematical Sciences and Computer Engineering, Tarbiat moalem University, Tehran, 15618
S MORADI –

چکیده:

Let K, S, T and X be compact plane sets such that K,S,T ⊆ X. We define P(X,K) = {f Є C(X): flK Є P(K)}, R(X,K)= {f Є C(X): flK Є P(K)} and A(X,K)= {f Є C(X): flK Є A(K)}.Let S0(A) denote the set of peak points for the Banach function algebra A on X. We first extend the Hartoge – Rosenthal Theorem, by showing that R(X,S) = R(X,T) if S+T has planar measure zero. Then we extend the Vitushkins Theorem.