Non-commutative Stein inequality and its applications
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1435813
Abstract: ABSTRACT The non-commutative Stein inequality asks whether there exists a constant Cp, q depending only on p, q such that for all (positive) sequences (xn) in . The validity of (Sp, 2) for 1 <… read more here.
Keywords: commutative stein; stein inequality; inequality applications; non commutative ... See more keywords
A1 Fefferman–Stein inequality for maximal functions of martingales in uniformly smooth spaces
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DOI: 10.1214/21-ejp680
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… read more here.
Keywords: maximal functions; functions martingales; inequality maximal; stein inequality ... See more keywords