The paper proves E[(Sf)^p] ≲ E[(f*)^p] for discrete k-parameter martingales on regular filtrations satisfying F4, for all 0<p<∞.
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Merryfield's inequality for multiparameter martingales
The paper proves E[(Sf)^p] ≲ E[(f*)^p] for discrete k-parameter martingales on regular filtrations satisfying F4, for all 0<p<∞.