Add to ORKGto-one harmonic mapping of the unit disc onto itself keeping the origin xed. Assuming additionally that F is a K-quasiconformal mapping we aim at giving a variant of Heinz's inequality which is asymptotically sharp as K tends to 1. To this end we prove a variant of Schwarz's lemma for such a mapping F
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
If \(\Omega\) is a simply connected domain in \(\overline{\mathbf C}\) then, according to the Ahlfor...
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipsc...
Abstract. In 1958 E. Heinz obtained a lower bound for |∂xF |2 + |∂yF |2, where F is a one-to-one har...
Abstract By using the improved Hübner inequalities, in this paper we obtain an asymptotically sharp ...
AbstractThe main result of this paper is the sharp generalized Schwarz–Pick inequality for euclidean...
Assume that $p\in [1,\infty ]$ and $u=P_{h}[\phi ]$, where $\phi \in L^{p}(\mathbb{S}^{n-1},\mathbb{...
Let be a univalent sense-preserving harmonic mapping of the open unit disc D = {z⎜ ⎜z⎜ < 1}. If f sa...
The distortion problem of K-quasiconformal mappings of the unit disk D={z:|z|<1}onto itself with ...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/ve...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
In this paper, we state a new version of an inequality of Reich and Strebel, namely their so-called ...
AbstractSeveral new inequalities are proved for the distortion function ϕK(r) appearing in the quasi...
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and O...
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
If \(\Omega\) is a simply connected domain in \(\overline{\mathbf C}\) then, according to the Ahlfor...
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipsc...
Abstract. In 1958 E. Heinz obtained a lower bound for |∂xF |2 + |∂yF |2, where F is a one-to-one har...
Abstract By using the improved Hübner inequalities, in this paper we obtain an asymptotically sharp ...
AbstractThe main result of this paper is the sharp generalized Schwarz–Pick inequality for euclidean...
Assume that $p\in [1,\infty ]$ and $u=P_{h}[\phi ]$, where $\phi \in L^{p}(\mathbb{S}^{n-1},\mathbb{...
Let be a univalent sense-preserving harmonic mapping of the open unit disc D = {z⎜ ⎜z⎜ < 1}. If f sa...
The distortion problem of K-quasiconformal mappings of the unit disk D={z:|z|<1}onto itself with ...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/ve...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
In this paper, we state a new version of an inequality of Reich and Strebel, namely their so-called ...
AbstractSeveral new inequalities are proved for the distortion function ϕK(r) appearing in the quasi...
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and O...
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
If \(\Omega\) is a simply connected domain in \(\overline{\mathbf C}\) then, according to the Ahlfor...
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipsc...