Hardy inequalities and imbeddings in domains generalizing 𝐶^{0,𝜆} domains

Wannebo, Andreas

doi:10.1090/S0002-9939-1994-1211593-6

Hardy inequalities and imbeddings in domains generalizing $C^ {0,\lambda }$ domains
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Proc. Amer. Math. Soc. 122 (1994), 1181-1190 Request permission

Abstract:

Sufficient conditions for Hardy inequalities in a domain are studied together with related imbedding inequalities. The weights are nonnegative monotone functions of the distance to the boundary, and the domains are a generalization of ${C^{0,\lambda }}$ domains, obtained by replacing the power function in the definition with a general nondecreasing one.

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