Spaces of analytic functions on essentially pluripolar compacta

Official URL: https://dx.doi.org/10.7169/facm/1729

LetA (K) be the locally convex space of all analytic germs on a compact subset K of a Stein manifold Ω, dim Ω = n, endowed with the standard inductive topogy, let 0n denote the origin of Cn, The main result is the characterisation of the isomorphism A (K) ≃ A ({0n}) in terms of pluripotential theory. It is based on the general result of Aytuna-Krone-Terzioğlu on the characterisation of power series spaces of infinite type in terms of interpolational invariants (DN) and (Ω).