Abstract. The Burkholder--Davis--Gundy inequalities and the sharp maximal function inequalities for martingales are established for rearrangement-invariant quasi-Banach function spaces.
AMS Subject Classification
(1991): 60G42, 46E35, 60G46
sharp maximal function,
rearrangement-invariant quasi-Banach function spaces
Received September 10, 2012, and in revised form April 20, 2017. (Registered under 67/2012.)