Abstract
Some recent results connected with the one-dimensional Hardy operator are given. Namely, some fractional order analogues of the classical Hardy inequality are discussed, and results concerning the two-dimensional Hardy operator are extended to Hardy operators defined on 1ℝ M × ℝ N . The main tools are the interpolation theory and some direct approaches for the fractional order case, and a recently derived N-dimensional Hardy inequality for operators on ℝ N .
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