Xia Zhang

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20242026

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4 papers · 1 filter

math.FA2026

A Laplace transform approach to $C$ -semigroups on a $T_{ε, I^»}$ -complete random normed module

Xia Zhang, Leilei Wei, Ming Liu

In this paper, we first introduce the notion of the Laplace transform for an abstract-valued function from $[0, \infty)$ to a $T_{ε, I^»}$ -complete random normed…

math.FA2025

$C$ -existence families, $C$ -semigroups and their associated abstract Cauchy problems in complete random normed modules

Xia Zhang, Leilei Wei, Ming Liu

In this paper, we first introduce the notion of a (mild) $C$ -existence family in complete random normed modules, then we prove that a (mild) $C$ -existence family can guarantee the…

math.FA2025

A dual representation theorem on the conditional Orlicz space generated from a random normed module

Xia Zhang, Ke Qian, Ming Liu

In this paper, we first introduce the notion of a random Orlicz function, and further present the conditional Orlicz space generated from a random normed module. Second, we prove t…

math.FA2024

The Radon-Nikod $Y ˊ$ m property of $L$ -Banach spaces and the dual representation theorem of $L$ -Bochner function spaces

Xia Zhang, Xiangle Yan, Ming Liu

In this paper, we first introduce $L$ - $I^¼$ -measurable functions and $L$ -Bochner integrable functions on a finite measure space $(S, F, I^¼),$ and give an $…

A Laplace transform approach to C-semigroups on a Tε,I^»​-complete random normed module

C-existence families, C-semigroups and their associated abstract Cauchy problems in complete random normed modules

A dual representation theorem on the conditional Orlicz space generated from a random normed module

The Radon-NikodYˊm property of L-Banach spaces and the dual representation theorem of L-Bochner function spaces

A Laplace transform approach to $C$ -semigroups on a $T_{ε, I^»}$ -complete random normed module

$C$ -existence families, $C$ -semigroups and their associated abstract Cauchy problems in complete random normed modules

The Radon-Nikod $Y ˊ$ m property of $L$ -Banach spaces and the dual representation theorem of $L$ -Bochner function spaces