Partially smooth universal Taylor series on products of simply connected domains

Some remarks on approximation in several complex variables

“…Thus polynomials are uniformly dense in 𝐴 𝐷 (𝐾). See also[1,6,7].Thus, 𝑃(𝐾) = 𝐴(𝐾) is equivalent to 𝑃(𝐾) = 𝐴 𝐷 (𝐾) and 𝐴 𝐷 (𝐾) = 𝐴(𝐾). A combination of Theorem 2.1 and Corollary 3.1 completes the proof.…”