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Pacific Journal of Mathematics Vol. 99, No. 2, 1982

BMO from dyadic BMO

John Brady Garnett and Peter Wilcox Jones

Vol. 99 (1982), No. 2, 351–371

Abstract

We give new proofs of four decomposition theorems for functions of bounded mean oscillation by first obtaining each theorem in the easier dyadic case and then averaging the results of the dyadic decomposition over translations in Rm.

Mathematical Subject Classification 2000

Primary: 42B30

Milestones

Received: 19 November 1980

Published: 1 April 1982

Authors
John Brady Garnett
Department of Mathematics
University of California
Los Angeles CA 90024
United States
Peter Wilcox Jones