Integral inequalities of Hardy and Poincar type
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The Poincar inequality in a bounded domain holds, for instance, for compactly supported functions, for functions with mean value zero and for harmonic functions vanishing at a point. We show that it can be improved to , where is the distance to the boundary, and the positive exponent depends on the smoothness of the boundary.
Proceedings of the American Mathematical Society
author list (cited authors)
Boas, H. P., & Straube, E. J.
complete list of authors
Boas, Harold P||Straube, Emil J