Ideals with at most countable hull in certain algebras of functions analytic on the half-plane (Q378498)

Continuing an earlier work [Commentat. Math. 52, No. 1, 101--112 (2012; Zbl 1302.46037)], the authors study closed ideals whose hulls are at most countable. Under consideration is the space \(A^{(\alpha)} (\mathbb C^{+})\) (\(\alpha > 0\)) of functions which are analytic in terms of fractional complex derivation, \(n = [\alpha]+1\), on the right half plane, satisfying certain growth conditions. The authors verify that certain conditions needed for a similar result from [loc. cit.], proved in the case of certain subalgebras of the disc algebra, are also satisfied in this case to yield a similar conclusion.