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  1. No Access

    Article

    \(L^p\) norm of truncated Riesz transform and an improved dimension-free \(L^p\) estimate for maximal Riesz transform

    In this paper, we prove that the \(L^p(\mathbb {R}^d)\) L ...

    **song Liu, Petar Melentijević, Jian-Feng Zhu in Mathematische Annalen (2024)

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    Article

    Hollenbeck–Verbitsky conjecture on best constant inequalities for analytic and co-analytic projections

    In this paper we address the problem of finding the best constants in inequalities of the form: $$\begin{aligned} \big \Vert \big (|P_+f|^s+|P...

    Petar Melentijević in Mathematische Annalen (2024)

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    Article

    Best Constants in Inequalities Involving Analytic and Co-Analytic Projections and Riesz’S Theorem in Various Function Spaces

    Let P+ be the Riesz’s projection operator and let P− = I − P+. We consider estimates of the expression ∥

    Petar Melentijević, Marijan Marković in Potential Analysis (2023)

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    Article

    Khavinson Problem for Hyperbolic Harmonic Map**s in Hardy Space

    In this paper, we partly solve the generalized Khavinson conjecture in the setting of hyperbolic harmonic map**s in Hardy space. Assume that ...

    Jiaolong Chen, David Kalaj, Petar Melentijević in Potential Analysis (2023)

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    Article

    Sharp Riesz-Fejér Inequality for Harmonic Hardy Spaces

    We prove sharp version of Riesz-Fejér inequality for functions in harmonic Hardy space ...

    Petar Melentijević, Vladimir Božin in Potential Analysis (2021)

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    Article

    Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms

    In this paper we find the explicit form for the equalizing term in the inequality related to Landau–Grüss inequality for elementary operators, which enabled us to refine inequalities related to operator Landau...

    Danko R. Jocić, Đorđe Krtinić, Milan Lazarević… in Complex Analysis and Operator Theory (2018)