R. Seraji

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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

Some Remarks on the Vector-Valued Variable Exponent Lebesgue Spaces $ℓ^{q (\cdot)} (L^{p (\cdot)})$

Arash Ghorbanalizadeh, Reza Roohi Seraji

In this paper, we investigate the geometric properties of the variable mixed Lebesgue-sequence space $ℓ^{q (\cdot)} (L^{p (\cdot)})$ as a Banach space. We show that, if $ 1<q_-,p_…

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

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

Some Remarks on the Vector-Valued Variable Exponent Lebesgue Spaces ℓq(⋅)(Lp(⋅))

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

Some Remarks on the Vector-Valued Variable Exponent Lebesgue Spaces $ℓ^{q (\cdot)} (L^{p (\cdot)})$