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PRIMARY SUMMAND FUNCTIONS ON THREE-DIMENSIONAL COMPACT SOLVMANIFOLDS

By Carolyn Pfeffer and Theodore W. Gamelin

Abstract

Abstract. Leonard Richardson has shown that for a certain class of threedimensional compact solvmanifolds, projections onto ^-primary summands of L2(M) do not preserve the continuity of functions on M. It is shown here that if the 7c-primary projection of a continuous function is L° ° then it is actually continuous. From this it follows that there are continuous functions on M whose ^-primary projections are essentially unbounded

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.1477
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