Martingale Spaces and Inequalities

By R. Long. 2013

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The predual and John-Nirenberg inequalities on generalized BMO martingale spaces (2014, background): “ −1), where Hs p denotes the martingale Hardy space associated with the conditional quadratic variation, that is, Hs p = n f= (fn)n≥0 : kfkHs p = X∞ i=1 Ei−1|dif| 2 1 2 p <∞ o . We refer to [8], [14] and [22] for the fact above. At the same time, Weisz [22] also proved the following duality resul”
Martingale Hardy spaces with variable exponents (2014, background): “3) directly by the weak type inequality as the classical case in [20].”