Add to ORKGAbstract. In 1958 E. Heinz obtained a lower bound for |∂xF |2 + |∂yF |2, where F is a one-to-one harmonic mapping of the unit disc onto itself keeping the origin fixed. 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
The Jenkins inequality for univalent functions is generalized for a class of pairs of meromorphic in...
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipsc...
In this paper, we state a new version of an inequality of Reich and Strebel, namely their so-called ...
to-one harmonic mapping of the unit disc onto itself keeping the origin xed. Assuming additionally t...
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...
Let be a univalent sense-preserving harmonic mapping of the open unit disc D = {z⎜ ⎜z⎜ < 1}. If f sa...
AbstractSeveral new inequalities are proved for the distortion function ϕK(r) appearing in the quasi...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
Assume that $p\in [1,\infty ]$ and $u=P_{h}[\phi ]$, where $\phi \in L^{p}(\mathbb{S}^{n-1},\mathbb{...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
The distortion problem of K-quasiconformal mappings of the unit disk D={z:|z|<1}onto itself with ...
We prove several improved versions of Bohr’s inequality for the harmonic mappings of the form f=h+\o...
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and O...
Concerning the problem of extremality of quasiconformal mappings with dilatation bounds, we discuss ...
The Jenkins inequality for univalent functions is generalized for a class of pairs of meromorphic in...
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipsc...
In this paper, we state a new version of an inequality of Reich and Strebel, namely their so-called ...
to-one harmonic mapping of the unit disc onto itself keeping the origin xed. Assuming additionally t...
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...
Let be a univalent sense-preserving harmonic mapping of the open unit disc D = {z⎜ ⎜z⎜ < 1}. If f sa...
AbstractSeveral new inequalities are proved for the distortion function ϕK(r) appearing in the quasi...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
Assume that $p\in [1,\infty ]$ and $u=P_{h}[\phi ]$, where $\phi \in L^{p}(\mathbb{S}^{n-1},\mathbb{...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
The distortion problem of K-quasiconformal mappings of the unit disk D={z:|z|<1}onto itself with ...
We prove several improved versions of Bohr’s inequality for the harmonic mappings of the form f=h+\o...
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and O...
Concerning the problem of extremality of quasiconformal mappings with dilatation bounds, we discuss ...
The Jenkins inequality for univalent functions is generalized for a class of pairs of meromorphic in...
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipsc...
In this paper, we state a new version of an inequality of Reich and Strebel, namely their so-called ...