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A local version of the two-circles theorem
Authors:Carlos A Berenstein  Roger Gay
Institution:(1) Mathematics Department, University of Maryland, 20742 College Park, MD, USA;(2) Universite de Bordeaux I, U.E.R. de Mathematiques et Informatique, Unite Associee au C.N.R.S. N 040226, 351, Course de la Liberation, 334505 Talence Cedex, France
Abstract:A necessary and sufficient condition is given so that in a domain Ω there are no functions whose average over all balls contained in Ω of radiir 1,r 2 vanish except the zero function. Partially supported by NSF grant DMS-8401356 and by NSF grant OJR 85-OV-108 through the Systems Research Center of the University of Maryland.
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