The numerical range of (generally speaking, unbounded) linear operators plays a crucial
role in linear semigroup theory because of the celebrated Lumer–Phillips Theorem. For …

We provide the spectral picture of groups of weighted composition operators, induced by the
hyperbolic group of automorphisms of the unit disc, acting on holomorphic functions. Some …

We address the problem of studying the boundedness, compactness and weak
compactness of the integral operators T g (f)(z)=∫ 0 zf (ζ) g′(ζ) d ζ acting from a Banach …

We characterize the boundedness, compactness and weak compactness of Volterra
operators V_ g (f)(z):= ∫ _ 0^ zf (ζ) g^ ′ (ζ)\, d ζ V g (f)(z):=∫ 0 zf (ζ) g′(ζ) d ζ acting …

Analyticity of Weighted Composition Semigroups on the Space of Holomorphic Functions | Bulletin
of the Iranian Mathematical Society Skip to main content Springer Nature Link Account Menu …

Let g be an analytic function on the unit disc and consider the integration operator of the
form T_g f (z)=\int_0^ z fg'\, d ζ. We derive estimates for the essential and weak essential …

Abstract Avicou, Chalendar and Partington proved in 2015 [5] that an (unbounded) operator
Af= G· f'on the classical Hardy space generates a C 0 semigroup of composition operators if …

We study [φ t, X], the maximal space of strong continuity for a semigroup of composition
operators induced by a semigroup {φ t} t≥ 0 of analytic self-maps of the unit disk, when X is …

We consider continuous semigroups of analytic functions {Φ t} t≥ 0 in the so-called Gordon-
Hedenmalm class G, that is, the family of analytic functions Φ: C+→ C+ giving rise to …

This manuscript contains recent results on generation theory of semigroups of holomorphic
mappings with applications to geometric function theory as well as new results which could …