706 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of AntwerpBE540 papers
- A. Alikhanyan National LaboratoryAM538 papers
- Charles UniversityCZ537 papers
- Deutsches Elektronen-Synchrotron DESYDE530 papers
- RWTH Aachen UniversityDE527 papers
- Rutherford Appleton LaboratoryGB526 papers
- Universität HamburgDE524 papers
- University of ZurichCH523 papers
- ETH ZurichCH519 papers
- European Organization for Nuclear ResearchCH492 papers
- University of BelgradeRS490 papers
- Centre National de la Recherche ScientifiqueFR475 papers
6 papers · 2 filters
Optimal estimates for the gradient of harmonic functions in the unit disk
David Kalaj, Marijan Markovic
Concrete sharp constants in a pointwise estimate of the gradient of a harmonic function in the unit disk are obtained under the assumption that function belong to Hardy space …
Radial extension of a bi-Lipschitz parametrization of a starlike Jordan curve
David Kalaj
In this paper we discus the radial extension of a bi-Lipschitz parameterization of a starlike Jordan curve w.r. to 0. We show that, if parameterization is…
On harmonic functions and the Schwarz lemma
David Kalaj, Matti Vuorinen
We study the Schwarz lemma for harmonic functions and prove sharp versions for the cases of real harmonic functions and the norm of harmonic mappings.
Deformations of Annuli on Riemann surfaces with Smallest Mean Distortion
David Kalaj
Let and be two circular annuli and let be a radial metric defined in the annulus . Consider the class of harmonic mappings between and .…
Cauchy transform and Poisson's equation
David Kalaj
Let , be a solution of the Poisson equation , , in the unit disk. It is proved that wit…
Harmonic maps between annuli on Riemann surfaces
David Kalaj
Let be a metric in a Riemann surface , where is a positive real function. Let be the family of univalent harmonic mapping…