Jian Tan

activity

20192026

most citedDiscrete para-product operators on variable Hardy spaces

3 citations · 5 across the 8 of their papers we have counts for

collaborators

9 papers

math.CA2026

Variable Hardy spaces in the Dunkl Setting

Jian Tan

In this paper, we aim to define a new variable Hardy spaces in the Dunkl setting by the discrete Littlewood--Paley square functions. We also consider the atomic decomposition chara…

math.CA2026

Dual spaces and T1 theorem of variable Dunkl--Hardy spaces

Jian Tan

In this paper, we identify the dual spaces of variable Dunkl--Hardy spaces using a discrete Dunkl--Calderón reproducing formula and the Frazier and Jawerth's method adapted to the…

math.FA2023

Weak type estimates for Bochner--Riesz means on Hardy-type spaces associated with ball quasi-Banach function spaces

Jian Tan, Linjing Zhang

Let $X (R^{n})$ be a ball quasi-Banach function space on $R^{n}$ , $W X (R^{n})$ be the weak ball quasi-Banach function space on $\math…

math.CA2023★ 1 cited

The Atomic Characterization of Weighted Local Hardy Spaces and Its Applications

Xinyu Chen, Jian Tan

The purpose of this paper is to obtain atomic decomposition characterization of the weighted local Hardy space $h_{ω}^{p} (R^{n})$ with $ω \in A_{\infty} (R^{n})$ . W…

math.FA2023★ 1 cited

Product Hardy spaces meet ball quasi-Banach function spaces

Jian Tan

The main purpose of this paper is to develop the theory of product Hardy spaces built on Banach lattices on $R^{n} \times R^{m}$ . First we introduce new product Hardy spa…

math.CA2021

Real-Variable Theory of Local Variable Hardy Spaces

Jian Tan

In this paper, we give a complete real-variable theory of local variable Hardy spaces. First, we present various real-variable characterizations in terms of several local maximal f…

math.CA2019★ 3 cited

Discrete para-product operators on variable Hardy spaces

Jian Tan

Let $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying the globally log-Hölder continuous condition. In this paper, we obtain the boundedness of…

math.CA2019

Carleson measure spaces with variable exponents and their applications

Jian Tan

In this paper, we introduce the Carleson measure spaces with variable exponents $C M O^{p (\cdot)}$ . By using discrete Littlewood $-$ Paley $-$ Stein analysis as well as Frazier and Jawer…

math.CA2019

Multilinear fractional type operators and their commutators on Hardy spaces with variable exponents

Jian Tan

In this article, we show that multilinear fractional type operators are bounded from product Hardy spaces with variable exponents into Lebesgue spaces with variable exponents via t…