Authors’ abstract: Given a domain D in \({\mathbb{C}}^ n\), a holomorphic function f on D is said to belong to \(H^ p(D)\), \(0<p<\infty\), provided that \(| f|^ p\) admits a harmonic majorant in D. In this note it is shown that \(H^ p(D\backslash E)=H^ p(D)\) whenever E is a relative closed polar subset of D.