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

collaborators

20 papers

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…

math.CA2021

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…

math.FA2020★ 1 cited

Weak and strong type estimates for the multilinear Littlewood-Paley operators

Mingming Cao, Mahdi Hormozi, Gonzalo Ibañez-Firnkorn +3

Let $S_{α}$ be the multilinear square function defined on the cone with aperture $α \geq 1$ . In this paper, we investigate several kinds of weighted norm inequalities for $S_{α}$ . We fi…

math.FA2017★ 5 cited

Relations between Schramm spaces and generalized Wiener classes

Milad Moazami Goodarzi, Mahdi Hormozi, Nacima Memić

We give necessary and sufficient conditions for the embeddings $Λ BV^{(p)} \subseteq Γ BV^{(q_{n} ↑ q)}$ and $Φ BV \subseteq BV^{(q_{n} ↑ q)}$ . As a c…

math.CA2015★ 21 cited

New bounds for bilinear Calderón-Zygmund operators and applications

Wendolín Damián, Mahdi Hormozi, Kangwei Li

In this work we extend Lacey's domination theorem to prove the pointwise control of bilinear Calderón--Zygmund operators with Dini--continuous kernel by sparse operators. The preci…

math.CA2015★ 2 cited

$A_{p}$ - $A_{\infty}$ estimates for general multilinear sparse operators

Mahdi Hormozi, Kangwei Li

In this paper, we study the $A_{p}$ - $A_{\infty}$ estimates for a class of multilinear dyadic positive operators. As applications, the $A_{p}$ - $A_{\infty}$ estimates for different operators…

math.CA2015

On General multilinear square function with non-smooth kernels

Mahdi Hormozi, Zengyan Si, Qingying Xue

In this paper, we obtain some boundedness of the following general multilinear square functions $T$ with non-smooth kernels, which extend some known results significantly. $$ T(\ve…

math.CA2015★ 5 cited

Weighted bounds for multilinear operators with non-smooth kernels

The Anh Bui, Jose M. Conde-Alonso, Xuan Thinh Duong +1

Let $T$ be a multilinear integral operator which is bounded on certain products of Lebesgue spaces on $R^{n}$ . We assume that its associated kernel satisfies some mild regula…

math.GR2015

Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters

Mahdi Hormozi, Kijti Rodtes

This paper provides some properties of Brauer symmetry classes of tensors. We derive a dimension formula for the orbital subspaces in the Brauer symmetry classes of tensors corresp…

math.CA2015

Weighted bounds for multilinear square functions

The Anh Bui, Mahdi Hormozi

Let $P = (p_{1}, \dots, p_{m})$ with $1 < p_{1}, \dots, p_{m} < \infty$ , $1/ p_{1} + \dots + 1/ p_{m} = 1/ p$ and $w = (w_{1}, \dots, w_{m}) \in A_{P}$ . In this paper, we investigate the weighted bo…

math.FA2013

Inclusions of Waterman-Shiba spaces into generalized Wiener classes

Mahdi Hormozi, Franciszek Prus-Wisniowski, Hjalmar Rosengren

The characterization of the inclusion of Waterman-Shiba spaces $Λ B V^{(p)}$ into generalized Wiener classes of functions $B V (q; δ)$ is given. It uses a new and shorter proof and ex…

math.FA2012

Inclusion of $Λ B V^{(p)}$ spaces in the classes $H_{ω}^{q}$

Mahdi Hormozi

A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. This corrects and extends an earlier res…

math.SP2012

A note on a paper of Harris concerning the asymptotic approximation to the eigenvalues of $- y " + q y = λ y$ , with boundary conditions of general form

Mahdi Hormozi

In this paper, we derive an asymptotic approximation to the eigenvalues of the linear differential equation $- y " (x) + q (x) y (x) = λ y (x), x \in (a, b)$ with boundary conditions of gene…

math.GR2012★ 21 cited

Symmetry classes of tensors associated with the Semi-Dihedral groups

Mahdi Hormozi, Kijti Rodtes

We discuss the existence of an orthogonal basis consisting of decomposable vectors for some symmetry classes of tensors associated with Semi-Dihedral groups $S D_{8 n}$ . The dimensio…

math.FA2011

Inclusion of $Λ^{#} B V^{(p)}$ spaces in the classes $B V (q (n) ↑ \infty)$

Mahdi Hormozi

The multivariable version of Waterman-Shiba classes and $B V (q (n) ↑ \infty)$ are introduced. Also characterization of the inclusion of multivariable Waterman-Shiba classes int…

math.CV2011

Orthogonal bases of Brauer relative symmetric polynomials for the the Dicyclic group

Mahdi Hormozi

In this paper, we discuss O-basis of symmetry classes of polynomials associated with the Brauer character of the Dicyclic group. Also, necessary and sufficient conditions are given…

math.CV2011

Orthogonal bases of Brauer relative symmetric polynomials for certain groups

Mahdi Hormozi, Kijti Rodtes

In this paper, we discuss O-basis of symmetry classes of polynomials associated with the Brauer character of the Semi-Dihedral groups and Dihedral groups. Also, necessary and suffi…

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 the weak boundedness of multilinear Littlewood--Paley functions

Weak and strong type estimates for the multilinear Littlewood-Paley operators

Relations between Schramm spaces and generalized Wiener classes

New bounds for bilinear Calderón-Zygmund operators and applications

Ap​-A∞​ estimates for general multilinear sparse operators

On General multilinear square function with non-smooth kernels

Weighted bounds for multilinear operators with non-smooth kernels

Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters

Weighted bounds for multilinear square functions

Inclusions of Waterman-Shiba spaces into generalized Wiener classes

Inclusion of ΛBV(p) spaces in the classes Hωq​

A note on a paper of Harris concerning the asymptotic approximation to the eigenvalues of −y"+qy=λy, with boundary conditions of general form

Symmetry classes of tensors associated with the Semi-Dihedral groups

Inclusion of Λ#BV(p) spaces in the classes BV(q(n)↑∞)

Orthogonal bases of Brauer relative symmetric polynomials for the the Dicyclic group

Orthogonal bases of Brauer relative symmetric polynomials for certain groups

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

$A_{p}$ - $A_{\infty}$ estimates for general multilinear sparse operators

Inclusion of $Λ B V^{(p)}$ spaces in the classes $H_{ω}^{q}$

A note on a paper of Harris concerning the asymptotic approximation to the eigenvalues of $- y " + q y = λ y$ , with boundary conditions of general form

Inclusion of $Λ^{#} B V^{(p)}$ spaces in the classes $B V (q (n) ↑ \infty)$