Petar Melentijevi'c

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20172025

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math.CV2024

Best constants in reverse Riesz-type inequalities for analytic and co-analytic projections

Petar Melentijević

Let $P_{+}$ be the Riesz's projection operator and let $P_{-} = I - P_{+}$ . We consider the inequalities of the following form $$ \|f\|_{L^p(\mathbb{T})}\leq B_{p,s}\|( |P_ + f | ^s + |P_…

math.CV2017

On the norm of the weighted Berezin transform

Petar Melentijević

We consider a weighted Berezin transform: $B_{α} : L^{\infty} (B^{n}) \to B, α > - 1,$ defined, for $f \in L^{\infty} (B^{n})$ and $z \in…