Some remarks on Hartogs’ extension lemma

Abstract

Motivated by a result and a question by E. M. Chirka we consider the Hartogs' extension property for some connected sets in C 2 of the form K = Σ ∪ (∂Δ × Δ), where Σ is a possibly nonconnected compact subset of Δ × Δ ⊂ C 2 .