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A strong Lebesgue point property for Sobolev functions
Author(s):
Visa
Latvala
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2331-2338.
MSC (2000):
Primary 46E35;
Secondary 31C15
Posted:
February 19, 2004
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Additional information
Abstract:
We show that first-order Sobolev functions fulfill a Wiener integral type Lebesgue point property outside a set of Sobolev capacity zero. Our condition is stronger than the standard Lebesgue point property, but the exceptional set is slightly larger.
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Additional Information:
Visa
Latvala
Affiliation:
Department of Mathematics, University of Joensuu, P.O. Box 111, 80101 Joensuu, Finland
Email:
visa.latvala@joensuu.fi
DOI:
10.1090/S0002-9939-04-07358-7
PII:
S 0002-9939(04)07358-7
Keywords:
Sobolev functions,
Lebesgue points,
capacity
Received by editor(s):
January 23, 2003
Received by editor(s) in revised form:
April 29, 2003
Posted:
February 19, 2004
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2004,
American Mathematical Society
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