A Hardy inequality in the half-space |
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Authors: | Jesper Tidblom |
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Institution: | Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden |
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Abstract: | Here we prove a Hardy-type inequality in the upper half-space which generalize an inequality originally proved by Maz’ya (Sobolev Spaces, Springer, Berlin, 1985, p. 99). Here we present a different proof, which enable us to improve the constant in front of the remainder term. We will also generalize the inequality to the Lp case. |
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Keywords: | Primary 35P99 Secondary 35P20 47A75 47B25 |
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