Carleson measure and balayage

2009/08/07 by Sandra Pott, Alexander Volberg, Pott, Sandra +1
Mathematics · #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:42B35

paper · pdf · doi:10.48550/arxiv.0908.1097

8 pages, submitted

arxiv created 2009/08/07 · arxiv updated 2009/12/01

Abstract

The balayage of a Carleson measure lies of course in BMO. We show that the converse statement is false. We also make a two-sided estimate of the Carleson norm of a positive measure in terms of balayages.

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