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The strong sweeping out property for convolution powers
Published online by Cambridge University Press: 26 March 2001
Abstract
Pointwise convergence a.e. of \mu^k f has been studied by Bellow, Jones and Rosenblatt. We answer two of their questions: the strong sweeping out property holds (in this case) iff the measure \mu has unbounded angular ratio and the stability is equivalent to the bounded angular ratio.
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- © 2001 Cambridge University Press
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