M. Hormozi

activity

20112026

most citedSymmetry classes of tensors associated with the Semi-Dihedral groups

21 citations · 55 across the 18 of their papers we have counts for

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4 papers · 1 filter

math.CA2026

On $L^{p}$ norms of maximal operators

Valentina Ciccone, Mahdi Hormozi, José Madrid +2

We study the exact $L^{p}$ norms for a number of maximal operators, which are prominent in harmonic analysis, semigroup theory, and probability. We prove that a strongly continuous p…

math.CA2026

Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres

Mahdi Hormozi, Jakub Niksiński, Błażej Wróbel

We prove that the full discrete Hardy-Littlewood maximal operator associated with Euclidean balls satisfies dimension-free bounds on $ℓ^{p} (Z^{d})$ for every $1 < p < \infty$ . W…

math.PR2026

The Gundy-Stein decomposition with explicit constants

Mahdi Hormozi, Jie-Xiang Zhu

Let $(F_{n})_{n \geq 1}$ be a filtration and let $f \geq 0$ belong to $L^{1} (F_{\infty})$ . For the martingale $f_{n} = E [f ∣ F_{n}]$ and each $λ > 0$ we prove a G…

math.CA2026

Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions

Mahdi Hormozi, Jie-Xiang Zhu

For any $1 < p < q < \infty$ , we investigate fixed-time hypercontractive bounds from $L^{p}$ to $L^{q}$ of Poisson semigroups associated with the Ornstein--Uhlenbeck, Laguerre and Jaco…

On Lp norms of maximal operators

Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres

The Gundy-Stein decomposition with explicit constants

Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions

On $L^{p}$ norms of maximal operators