Abstract
Let ω be aC2-smooth strictly pseudoconvex domain in Cn, letA(ω) denote the class of functions holomorphic in the interior\(\mathop \Omega \limits^ \circ\) and continuous in ω, letP(ω) be the closure of holomorphic polynomials in the uniformC(ω)-norm, and let\(\Lambda ^\alpha (\Omega ) \subset A(\Omega )\) be the Holder class of holomorphic functions. With the assumptionP(ω)=A(ω) a theorem concerning Λα(Ω) analogous to the classical Jackson-Bernstein theorem is proved.
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