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AN Lp ‘COUSIN OF COBOUNDARY’ THEOREM FOR RANDOM FIELDS
Published online by Cambridge University Press: 01 August 2008
Abstract
It is known that for a given and a given strictly stationary sequence of random variables, the p-norms of the partial sums are bounded if and only if the sequence consists of successive differences from another strictly stationary sequence with finite p-norm. Here this is generalized to random fields, and the assumption of stationarity is relaxed. The index is included.
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- Copyright © 2008 Australian Mathematical Society
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