Petar Melentijević

activity

20192026

most citedBest constants in inequalities involving analytic and co-analytic projections and Riesz theorem for various function spaces

9 citations · 26 across the 6 of their papers we have counts for

collaborators

Showing math.CVShow all

3 papers · 1 filter

math.CV2026

Reverse Heinz type inequality, Mather beta function and coefficient estimates

Vladimir Božin, Petar Melentijević

In this paper, we prove that for two cyclically ordered sequences of complex numbers of unit modulus $(ξ_{j})_{j = 1}^{n}$ and $(ζ_{j})_{j = 1}^{n}$ the inequality: $$\bigg|\sum_{m=1}^{n}(…

math.CV2022★ 6 cited

Hypercontractive inequalities for weighted Bergman spaces

Petar Melentijević

\begin{abstract} We obtain sharp $L^{p} \to L^{q}$ hypercontractive inequalities for the weighted Bergman spaces on the unit disk $D$ with the usual weights \\ $\frac{α…

math.CV2020

$L^{p}$ -theory for Cauchy-transform on the unit disk

David Kalaj, Petar Melentijević, Jian-Feng Zhu

Let $D$ be the unit disk and $φ \in L^{p} (D, d A)$ , where $1 \leq p \leq \infty$ . For $z \in D$ , the Cauchy-transform on $D$ , denote by $\mathca…

Reverse Heinz type inequality, Mather beta function and coefficient estimates

Hypercontractive inequalities for weighted Bergman spaces

Lp-theory for Cauchy-transform on the unit disk

$L^{p}$ -theory for Cauchy-transform on the unit disk