24 citations · 68 across the 31 of their papers we have counts for
7 papers · 1 filter
Sharp pointwics estimate for Fock spaces
Friedrich Haslinger, David Kalaj, Djordjije Vujadinovic
Firstly we establish a sharp pointwise estimate for the arbitrary derivative of the function where denotes the Fock space for Then, in a…
Minimisers and Kellogg's theorem
David Kalaj, Bernhard Lamel
We extend the celebrated theorem of Kellogg for conformal mappings to the minimizers of Dirichlet energy. Namely we prove that a diffeomorphic minimiser of Dirichlet energy of Sobo…
On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations
Shaolin Chen, David Kalaj
Suppose that is a -quasiconformal (-quasiconformal resp.) self-mapping of the unit disk , which satisfies the following: the inhomogeneous polyharm…
Schwarz lemma for harmonic mappings between Riemann surfaces
David Kalaj
We prove a Schwarz type lemma for harmonic mappings between the unit and a geodesic line in a Riemenn surface.
Neohookean deformations of annuli in the higher dimensional Euclidean space
David Kalaj, Jian-Feng Zhu
Let be an integer and assume that and $\A_\ast = \{y \in \mathbf{R}^n: 1 < |y| < R_\ast\}$ be two annuli in Euclidean space $\mat…
Lipschitz property of minimisers between double connected surfaces
David Kalaj
We study the global Lipschitz character of minimisers of the Dirichlet energy of diffeomorphisms between doubly connected domains with smooth boundaries from Riemann surfaces. The…