Bounded subsets of the Zygmund F-algebra

Yasuo Iida
2018 International Journal of Mathematical Analysis  
We will consider some characterizations of boundedness in the Zygmund F -algebra N log α N (X) (α > 0) of holomorphic functions f on the unit polydisk or the unit ball that satisfy where ϕ α (t) = t{log(c α + t)} α for t ≥ 0 and c α = max{e , e α }. Mathematics Subject Classification: 30H15, 32A38, 46B04
doi:10.12988/ijma.2018.8752 fatcat:4s7smygwnzhjnelwxg63s4jura