Abstract. We prove a generalization of the Schwarz lemma for meromorphic functions f mapping the unit disk D onto Riemann surfaces R with bounded in mean radial distances from f(0) to the boundary of R. A new variant of the Schwarz lemma is also proved for the Carathèodory class of analytic functions having positive real part in D. Our results lead to several improved estimates for the hyperbolic metric. 1. Introduction an
In this paper, a boundary version of the Schwarz lemma for classesM(p) is investigated. For the func...
We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the u...
In this paper we show how some techniques based on a Sturm comparison theorem for the differential e...
We obtain an new boundary Schwarz inequality, for analytic functions mapping the unit disk to itself...
We present a form of Schwarz's lemma for holomorphic maps between convex domains D1 and D2. This res...
14 pages with an appendixThrough the Schwarz lemma, we provide a new point of view on three well-kno...
AbstractIn this note the following new version of the Schwarz lemma is proved: Iffis a holomorphic f...
Let Ω and Π be two hyperbolic simply connected domains in the extended complex plane C̄ = C ∪ {∞}. W...
We prove a Schwarz Lemma for conformal mappings between two complete Riemannian manifolds when the d...
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for ...
Everyone who takes a course in Complex Analysis learns the Schwarz lemma. The most familiar form of ...
The classical lemma of Schwarz states that if f(a) = zg(z) where g(z) is holomorphic inside the unit...
Assume that f is a real ρ-harmonic function of the unit diskD onto the interval (-1,1), where ρ(u,v)...
Assume that $p\in [1,\infty ]$ and $u=P_{h}[\phi ]$, where $\phi \in L^{p}(\mathbb{S}^{n-1},\mathbb{...
In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-Pick l...
In this paper, a boundary version of the Schwarz lemma for classesM(p) is investigated. For the func...
We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the u...
In this paper we show how some techniques based on a Sturm comparison theorem for the differential e...
We obtain an new boundary Schwarz inequality, for analytic functions mapping the unit disk to itself...
We present a form of Schwarz's lemma for holomorphic maps between convex domains D1 and D2. This res...
14 pages with an appendixThrough the Schwarz lemma, we provide a new point of view on three well-kno...
AbstractIn this note the following new version of the Schwarz lemma is proved: Iffis a holomorphic f...
Let Ω and Π be two hyperbolic simply connected domains in the extended complex plane C̄ = C ∪ {∞}. W...
We prove a Schwarz Lemma for conformal mappings between two complete Riemannian manifolds when the d...
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for ...
Everyone who takes a course in Complex Analysis learns the Schwarz lemma. The most familiar form of ...
The classical lemma of Schwarz states that if f(a) = zg(z) where g(z) is holomorphic inside the unit...
Assume that f is a real ρ-harmonic function of the unit diskD onto the interval (-1,1), where ρ(u,v)...
Assume that $p\in [1,\infty ]$ and $u=P_{h}[\phi ]$, where $\phi \in L^{p}(\mathbb{S}^{n-1},\mathbb{...
In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-Pick l...
In this paper, a boundary version of the Schwarz lemma for classesM(p) is investigated. For the func...
We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the u...
In this paper we show how some techniques based on a Sturm comparison theorem for the differential e...