Journal
RUSSIAN MATHEMATICAL SURVEYS
Volume 57, Issue 4, Pages 693-708Publisher
LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES
DOI: 10.1070/RM2002v057n04ABEH000533
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A criterion for a function f is an element of L-p to belong to W-1,W-p (p > 1) or to BV (p = 1) is given. Various integral conditions under which a measurable function is constant are discussed.
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