martingale transforms
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2021 ◽  
pp. 109188
Author(s):  
Rodrigo Bañuelos ◽  
Fabrice Baudoin ◽  
Li Chen ◽  
Yannick Sire

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Justice Sam Bansah

We discuss martingale transforms between martingale Hardy-amalgam spaces H p , q s , Q p , q and P p , q . Let 0 < p < q < ∞ , p 1 < p and q 1 < q and let f = f n , n ∈ ℕ be a martingale in P p 1 , q 1 ; then, we show that its martingale transforms are the martingales in P p , q for some p , q and similarly for H p , q s and Q p , q .


2020 ◽  
Vol 163 ◽  
pp. 108778
Author(s):  
Meryem Akboudj ◽  
Yong Jiao ◽  
Adam Osękowski

2020 ◽  
Vol 41 (1) ◽  
Author(s):  
M. Brzozowski ◽  
A. Osękowski

2019 ◽  
pp. 1-28
Author(s):  
Yong Jiao ◽  
Fedor Sukochev ◽  
Dejian Zhou

Abstract In this paper, we investigate noncommutative symmetric and asymmetric maximal inequalities associated with martingale transforms and fractional integrals. Our proofs depend on some recent advances on algebraic atomic decomposition and the noncommutative Gundy decomposition. We also prove several fractional maximal inequalities.


2019 ◽  
Vol 148 (1) ◽  
pp. 235-245
Author(s):  
Wei Chen ◽  
Rui Han ◽  
Michael T. Lacey

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