Proceedings of the American Mathematical Society

Author(s): Seng-Kee Chua; Richard L. Wheeden
Journal: Proc. Amer. Math. Soc. 134 (2006), 2309-2316.
MSC (2000): Primary 26D10; Secondary 46E35
Posted: March 20, 2006
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Abstract: Let $1<p<\infty$ and $-\infty < a < b <\infty$ . We show by using elementary methods that the best constant

(necessarily independent of

and

) for which the 1-dimensional Poincaré inequality

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 26D10, 46E35

Seng-Kee Chua
Affiliation: Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543
Email: matcsk@nus.edu.sg

Richard L. Wheeden
Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
Email: wheeden@math.rutgers.edu

DOI: 10.1090/S0002-9939-06-08545-5
PII: S 0002-9939(06)08545-5
Keywords: Poincar\'e inequalities, Sobolev inequalities, Hardy inequalities
Received by editor(s): March 3, 2005
Posted: March 20, 2006
Communicated by: Michael C. Lacey
Copyright of article: Copyright 2006, American Mathematical Society

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