POINCAR´E'S INEQUALITY ON A NEW FUNCTION SPACE Lα(X)

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Published: Aug 15, 2009
DOI: https://doi.org/10.14403/jcms.2009.22.3.309
Keywords:
function space, Poincar´e's inequality, Lebesgue space, partial differential equations
Mathematics Subject Classification (2020):
Primary 42B35, 35J60, 35K55

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Hee Chul Pak
Department of Applied Mathematics and Institute of Basic Sciences, Dankook University
Sang-Hoon Chang
Department of Applied Mathematics, Dankook University

Abstract





We prove the homogeneous property of the norm of the new space Lα(X) which has been developed in [3]. We also present Poincar´e's inequality that is fitted to the function space Lα(X) with an appropriate slope condition.





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Article Details

Issue
Vol. 22 No. 3 (2009)
Section
Articles