학술저널
POINCAR¶E S INEQUALITY ON A NEW FUNCTION SPACE L？？(X)
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 3
-
2009.09309 - 318 (10 pages)
- 2
We prove the homogeneous property of the norm of the new space L？？(X) which has been developed in [3]. We also present Poincar¶e s inequality that is ¯tted to the function space L？？(X) with an appropriate slope condition.
1. Introduction
2. Preliminary results on the space L？？(X)
3. Homogeneity of k ¢ kL？？ : dual space argument
4. Poincar¶e s inequality on L？？()
Appendix: Proof of Proposition 3.1
References
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