3 citations · 3 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
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…
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 with . W…
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…
Discrete para-product operators on variable Hardy spaces
Jian Tan
Let be a variable exponent function satisfying the globally log-Hölder continuous condition. In this paper, we obtain the boundedness of…
Carleson measure spaces with variable exponents and their applications
Jian Tan
In this paper, we introduce the Carleson measure spaces with variable exponents . By using discrete LittlewoodPaleyStein analysis as well as Frazier and Jawer…