Let f be a martingale with values in a uniformly p-smooth Banach space and w any positive weight. We show that E(f∗ ·w) . E(Spf ·w∗), where ·∗ is the… Click to show full abstract
Let f be a martingale with values in a uniformly p-smooth Banach space and w any positive weight. We show that E(f∗ ·w) . E(Spf ·w∗), where ·∗ is the martingale maximal operator and Sp is the ` sum of martingale increments.
               
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