Rational approximation and Swiss cheeses of positive area

[摘要] References(3)Let J and K be two compact sets in the complex plane such that K{\backslash}J has zero planar measure. If R(J)=C(J) then R(K)=C(K). This result is used to produce many Swiss cheeses K of positive area, for which R(K)=C(K).

[学科分类] 数学（综合）