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On Variation Functions for Subsequence Ergodic Averages (1999)

Nair, R. ; Weber, M.

Springer

Monatshefte für Mathematik 128 (1999), S. 131-150

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Details

ISSN: 1436-5081

Schlagwort(e): 1991 Mathematics Subject Classification: 28D99; 60G10 ; 60G12 ; Key words: p-n or m operator ; variation function ; subsequence ergodic averages ; square functions

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract. Suppose denote the ergodic averages for the natural numbers . Let denote the corresponding maximal function and let for . We show that for if there exists such that then there exists such that . Similar weak (1,1) inequalities follow for V q when you know them for M too also with q 〉 1. We also show this fails completely if q= 1. We also show that for certain polynomial like and random sequences , if and is of exponential growth then for a certain positive constant C.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/s006050050051

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