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Weighted Hardy Inequalities for Increasing Functions

Published online by Cambridge University Press:  20 November 2018

H. P. Heinig  and
V. D. Stepanov
H. P. Heinig
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S4K1
V. D. Stepanov
Affiliation:
Department of Mathematics, University of Alabama, Tuscaloosa, Alabama 35487-0350, USA
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Abstract

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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.

Keywords

26D1542B25weighted inequalitiesHardy's inequality
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 1 , 01 February 1993 , pp. 104 - 116
Copyright
Copyright © Canadian Mathematical Society 1993

References

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