ISSN:
1436-5081
Keywords:
1991 Mathematics Subject Classification: 28D99; 60G10
;
60G12
;
Key words: p-n or m operator
;
variation function
;
subsequence ergodic averages
;
square functions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s006050050051
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