Free interpolation in some banach spaces of analytic functions

Abstract

We state a series of results regarding the interpolation in the spaces of analytic functions being the Taylor coefficient of the expansion at O, and. One asserts that a sequence with one condensation point, having a structure similar to a geometric progression, is an interpolation sequence for these spaces, i.e., the restriction operator on these sets maps these spaces onto the corresponding collection of sequences. In this case the restriction operator has a continuous right inverse which is explicitly constructed. This note is a continuation of the author's paper. Ref. Zh. Mat. 1973, 4B164.