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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… Click to show full 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 < p < ∞ and (Sp, 1) for 1 ⩽ p < ∞ are known. In this paper, we verify (i) (Sp, ∞) for 1 < p ⩽ ∞; (ii) (Sp, p) for 1 ⩽ p < ∞; (iii) (Sp, q) for 1 ⩽ q ⩽ 2 and q < p < ∞. We also present some applications.
Keywords:
commutative stein;
stein inequality;
inequality applications;
non commutative
Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2018
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Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2018
Link to full text (if available)
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recommendations!