21 citations · 55 across the 18 of their papers we have counts for
20 papers
On norms of maximal operators
Valentina Ciccone, Mahdi Hormozi, José Madrid +2
We study the exact norms for a number of maximal operators, which are prominent in harmonic analysis, semigroup theory, and probability. We prove that a strongly continuous p…
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 for every . W…
The Gundy-Stein decomposition with explicit constants
Mahdi Hormozi, Jie-Xiang Zhu
Let be a filtration and let belong to . For the martingale and each we prove a G…
Hypercontractivity of Poisson Semigroups with Orthogonal Polynomial Eigenfunctions
Mahdi Hormozi, Jie-Xiang Zhu
For any , we investigate fixed-time hypercontractive bounds from to of Poisson semigroups associated with the Ornstein--Uhlenbeck, Laguerre and Jaco…
On the weak boundedness of multilinear Littlewood--Paley functions
Mahdi Hormozi, Yoshihiro Sawano, Kozo Yabuta
In this note, notwithstanding the generalization, we simplify and shorten the proofs of the main results of the third author's paper \cite{SXY} significantly. In particular, the ne…
Weak and strong type estimates for the multilinear Littlewood-Paley operators
Mingming Cao, Mahdi Hormozi, Gonzalo Ibañez-Firnkorn +3
Let be the multilinear square function defined on the cone with aperture . In this paper, we investigate several kinds of weighted norm inequalities for . We fi…