David Kalaj

most citedRadius of Close-to-convexity of Harmonic Functions

23 citations · 28 across the 6 of their papers we have counts for

collaborators

6 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.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.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.

math.CV2010★ 2 cited

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 $h^{p}$ …

math.CA2010

Norm inequalities for vector functions

Barkat A. Bhayo, Vladimir Božin, David Kalaj +1

We study vector functions of $R^{n}$ into itself, which are of the form $x \mapsto g (∣ x ∣) x,$ where $g : (0, \infty) \to (0, \infty)$ is a continuous function and call thes…