Martingale Transforms between Martingale Hardy-amalgam Space
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Hindawi
Abstract
We discuss martingale transforms between martingale Hardy-amalgam spaces Hs
p,q, Qp,q and P p,q: Let 0 < p < q < ∞, p1 < p and
q1 < q and let f = ðf n, n ∈ ℕÞ be a martingale in P p1,q1
; then, we show that its martingale transforms are the martingales in P p,q
for some p, q and similarly for Hs
p,q and Qp,q:
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Research Article