A note on the support of a Sobolev function on a -cell

Author:
W. K. Ziemer

Translated by:

Journal:
Proc. Amer. Math. Soc. **132** (2004), 1987-1995

MSC (2000):
Primary 46E35

DOI:
https://doi.org/10.1090/S0002-9939-03-07335-0

Published electronically:
December 19, 2003

MathSciNet review:
2053970

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that a -cell (the homeomorphic image of a closed ball in ) in , , cannot support a function in if , the greatest integer in .

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Additional Information

**W. K. Ziemer**

Affiliation:
Department of Mathematics, California State University Long Beach, Long Beach, California 90840-1001

Email:
wziemer@csulb.edu

DOI:
https://doi.org/10.1090/S0002-9939-03-07335-0

Received by editor(s):
May 3, 2001

Received by editor(s) in revised form:
March 11, 2003

Published electronically:
December 19, 2003

Communicated by:
David Preiss

Article copyright:
© Copyright 2003
American Mathematical Society