Abstract
The purpose of this paper is to study several different properties of the holomorphic $${\cal N}\left( {p,q,s} \right)$$ -type functions in the unit ball $$\mathbb{B}$$ of ℂn via Carleson measure techniques. More precisely, we establish an atomic decomposition on such spaces and then we solve the Gleason’s problem on them. We also study the distance problems between Bergman-type spaces $${A^{ - {q \over p}}}\left(\mathbb{R} \right)$$ and $${\cal N}\left( {p,q,s} \right)$$ -type spaces. These results yield some new characterizations of the holomorphic F(p, q, t)-functions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have