D. Kalaj

activity

20092011

most citedLipschitz spaces and harmonic mappings

24 citations · 52 across the 6 of their papers we have counts for

collaborators

8 papers

math.CV2011★ 23 cited

Radius of Close-to-convexity of Harmonic Functions

David Kalaj, Saminathan Ponnusamy, Matti Vuorinen

Let $H$ denote the class of all normalized complex-valued harmonic functions $f = h + g ˉ$ in the unit disk $D$ , and let $K = H + G ˉ$ denote the harmonic Koeb…

math.DG2011

Gauss map of a harmonic surface

David Kalaj

We prove that the distortion function of the Gauss map of a harmonic surface coincides with the distortion function of the surface. Consequently, Gauss map of a harmonic surface is…

math.AP2011

Quasiconformal harmonic mappings between $C^{1, μ}$ Euclidean surfaces

David Kalaj

The conformal deformations are contained in two classes of mappings: quasiconformal and harmonic mappings. In this paper we consider the intersection of these classes. We show that…

math.FA2011

Subharmonicity of the modulus of quasiregular harmonic mappings

David Kalaj, Vesna Manojlović

In this note we determine all numbers $q \in R$ such that $∣ u ∣^{q}$ is a subharmonic function, provided that $u$ is a $K -$ quasiregular harmonic mappings in an open subset $Ω$ …

math.AP2011

Optimal estimates for harmonic functions in the unit ball

David Kalaj, Marijan Markovic

We find the sharp constants $C_{p}$ and the sharp functions $C_{p} = C_{p} (x)$ in the inequality $∣ u (x) ∣ \leq \frac{C _{p}}{( 1 - ∣ x ∣ ^{2} ) ^{(n - 1) / p}} ∥ u ∥_{h^{p} (B^{n})}, u \in h^{p} (B^{n}), x \in B^{n},$ in…

math.CV2011★ 3 cited

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.