Integral invariants of functions and L^p isometries on groups

Clyde D. Hardin and Loren Dallas Pitt

Vol. 106 (1983), No. 2, 293–306

DOI: 10.2140/pjm.1983.106.293

Abstract

For p ∈ (0,∞) and not an even integer it is proved that every isometric multiplier on an invariant subspace of L^p(G) is a translation operator.

Mathematical Subject Classification 2000

Primary: 43A15

Milestones

Received: 12 September 1979

Revised: 24 October 1980

Published: 1 June 1983