A constructed holomorphic function in D_α* is cyclic for α < α* but not at α*, disproving persistence of cyclicity at the critical index via Riesz capacities of generalized Cantor sets.
Rudin, Function Theory in the Unit Ball ofC n,Grundlehren der Mathematischen Wis- senschaften 241, Springer-Verlag, New York-Berlin, 1980
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CV 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Riesz $\alpha$-capacity of Cantor sets and cyclicity in Dirichlet-type spaces
A constructed holomorphic function in D_α* is cyclic for α < α* but not at α*, disproving persistence of cyclicity at the critical index via Riesz capacities of generalized Cantor sets.