Weighted Hardy Inequalities for Increasing Functions
Canadian journal of mathematics, Tome 45 (1993) no. 1, pp. 104-116

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The purpose of this paper is to characterize the weight functions for which the Hardy operator , with non-decreasing function ƒ, is bounded between various weighted Lp -spaces for a wide range of indices. Our characterizations complement for the most part those of E. T. Sawyer [11] and V. D. Stepanov [15] for the Hardy operator of non-increasing function.
DOI : 10.4153/CJM-1993-006-3
Mots-clés : 26D15, 42B25, weighted inequalities, Hardy's inequality
Heinig, H. P.; Stepanov, V. D. Weighted Hardy Inequalities for Increasing Functions. Canadian journal of mathematics, Tome 45 (1993) no. 1, pp. 104-116. doi: 10.4153/CJM-1993-006-3
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