15 citations · 15 across the 4 of their papers we have counts for
4 papers
A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains
V. Azarin, D. Drasin, P. Poggi-Corradini
We consider functions which are subfunctions with respect to the differential operator $$L_ρ= \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + 2ρ\frac{\partial}{…
Pointwise convergence on the boundary in the Denjoy-Wolff Theorem
Pietro Poggi-Corradini
If is an analytic selfmap of the disk (not an elliptic automorphism) the Denjoy-Wolff Theorem predicts the existence of a point with such that the iterates $ϕ_{…
On Valiron's Theorem
Filippo Bracci, Pietro Poggi-Corradini
This is a survey on Valiron's Theorem about the convergence properties of orbits of analytic self-maps of the disk of hyperbolic type and related questions in one and several varia…
Backward-iteration sequences with bounded hyperbolic steps for analytic self-maps of the disk
Pietro Poggi-Corradini
A lot is known about the forward iterates of an analytic function which is bounded by 1 in modulus on the unit disk. The Denjoy-Wolff Theorem describes their convergence properties…