24 citations · 52 across the 6 of their papers we have counts for
4 papers · 1 filter
Radius of Close-to-convexity of Harmonic Functions
David Kalaj, Saminathan Ponnusamy, Matti Vuorinen
Let denote the class of all normalized complex-valued harmonic functions in the unit disk , and let denote the harmonic Koeb…
Bi-Harmonic mappings and J. C. C. Nitsche type conjecture
David Kalaj, Saminathan Ponnusamy
In this note it is formulated the J. C. C. Nitsche type conjecture for bi-harmonic mappings. The conjecture has been motivated by the radial bi-harmonic mappings between annuli.
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 …
Lipschitz spaces and harmonic mappings
David Kalaj
In \cite{kamz} the author proved that every quasiconformal harmonic mapping between two Jordan domains with , , boundary is bi-Lipschitz, providing that the doma…