R. Seraji

activity

20232025

collaborators

4 papers

math.FA2025

Norm On The Variable Mixed Space $ℓ^{q (\cdot)} (L^{p (\cdot)})$

Reza Roohi Seraji

This paper aims to establish the norm properties of the variable mixed space $ℓ^{q (\cdot)} (L^{p (\cdot)})$ when $1 < q_{-}, p_{-}, q_{+}, p_{+} < \infty$ . In this way, we address the open p…

math.FA2025

Discrete Hilbert Transform And Discrete Mikhlin Multiplier On Discrete Variable Lebesgue Space

Arash Ghorbanalizadeh, Reza Roohi Seraji

In this paper, by using continuous Hilbert transform and maximal operator boundedness property in the variable Lebesgue space $L^{p (\cdot)} (R)$ we show that the discrete…

math.FA2024

Geometric Properties of Variable Mixed Lebesgue-Sequence Spaces

Arash Ghorbanalizadeh, Reza Roohi Seraji

We investigate the geometric properties of the variable mixed Lebesgue sequence space $\ell^{q(\cdot)}(L^{p(\cdot)})$. Assuming that $q_->1$, $p_+<\infty$, and \(q(\cdot)\le…

cs.LG2023

Tame Riemannian Stochastic Approximation

Johannes Aspman, Vyacheslav Kungurtsev, Reza Roohi Seraji

We study the properties of stochastic approximation applied to a tame nondifferentiable function subject to constraints defined by a Riemannian manifold. The objective landscape of…

Norm On The Variable Mixed Space ℓq(⋅)(Lp(⋅))

Discrete Hilbert Transform And Discrete Mikhlin Multiplier On Discrete Variable Lebesgue Space

Geometric Properties of Variable Mixed Lebesgue-Sequence Spaces

Tame Riemannian Stochastic Approximation

Norm On The Variable Mixed Space $ℓ^{q (\cdot)} (L^{p (\cdot)})$