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

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Showing 2019 · math.FAShow all

2 papers · 2 filters

math.FA2019★ 9 cited

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

Marijan Marković, Petar Melentijević

\begin{abstract} Let $P \pm$ be the Riesz's projection operator and let $P_{-} = I - P_{+}$ . We consider estimates of the expression $\|( |P_ + f | ^s + |P_- f |^s) ^{\frac{1}{s}}\|_{L^p…

math.FA2019★ 8 cited

Sharp Riesz-Fejér inequality for harmonic Hardy spaces

Petar Melentijević, Vladimir Božin

We prove sharp version of Riesz-Fejér inequality for functions in harmonic Hardy space $h^{p} (D)$ on the unit disk $D$ , for $p > 1,$ thus extending the result from \c…