Sharp Logarithmic Inequalities for Hardy Operators
Adam Osękowski
University of Warsaw, Poland
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Abstract
Let be a fixed number. We determine, for each , the best constant such that the following holds. If is a function on with , then
As an application, we derive a sharp local logarithmic estimate for -dimensional fractional Hardy operator.
Cite this article
Adam Osękowski, Sharp Logarithmic Inequalities for Hardy Operators. Z. Anal. Anwend. 35 (2016), no. 1, pp. 1–20
DOI 10.4171/ZAA/1552