ArticleOriginal scientific text

Title

An exponential estimate for convolution powers

Authors 1

Affiliations

  1. Department of Mathematics, DePaul University, 2219 N. Kenmore, Chicago, IL 60614, U.S.A.

Abstract

We establish an exponential estimate for the relationship between the ergodic maximal function and the maximal operator associated with convolution powers of a probability measure.

Keywords

maximal functions, exponential estimates, convolution powers

Bibliography

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  5. R. L. Jones, Inequalities for the ergodic maximal function, Studia Math. 60 (1977), 111-129.
  6. R. L. Jones, R. Kaufman, J. Rosenblatt and M. Wierdl, Oscillation in ergodic theory, Ergodic Theory Dynam. Systems 18 (1998), 889-935.
  7. R. L. Jones, I. Ostrovskii and J. Rosenblatt, Square functions in ergodic theory, ibid. 16 (1996), 267-305.
  8. K. Reinhold, Convolution powers in L1, Illinois J. Math. 37 (1993), 666-679.
  9. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N.J., 1970.
Pages:
195-202
Main language of publication
English
Accepted
1999-01-18
Published
1999
Exact and natural sciences