Marijan Markovic

activity

20102024

most citedOn synchronization in Kuramoto models on spheres

17 citations · 24 across the 17 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.CV2011

A Sharp inequality for holomorphic functions on the polydisc

Marijan Markovic

In this paper we prove an isoperimetric inequality for holomorphic functions in the unit polydisc $U^{n}$ . As a corollary we derive an inclusion relation between weighted Ber…

math.CV2011★ 1 cited

Charatheodory and Smirnov type theorem for harmonic mappings

David Kalaj, Marijan Markovic, Miodrag Mateljevic

We prove a version of Smirnov type theorem and Charatheodory type theorem for a harmonic homeomorphism of the unit disk onto a Jordan surface with rectifiable boundary. Further we…

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…