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15th Southeastern Analysis Meeting and Shanks Lecture
May 20-23, 1999
Vanderbilt University
Nashville, TN, USA

Organizers
Daoxing Xia, Dechao Zheng, Eric Schechter

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Oscillation in ergodic theory: Singular Integrals
by
James T. Campbell
University of Memphis
Coauthors: Rojer Jones, Karin Reinhold, Máté Wierdl

In this paper we continue earlier investigations into square function inequalities in Ergodic Theory and Harmonic Analysis . We are concerned with square functions for discrete versions of the classical d-dimensional (d >= 1) Calderon-Zygmund singular integral operators. Most of our results transfer to Rd and hence apply to the classical operators, viz., the Hilbert- and Riesz-transforms.

Date received: March 9, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacb-11.