IMPROVED Lp–Lq HARDY INEQUALITIES


Orazbayev A. Suragan D.
October 2024Element D.O.O.

Mathematical Inequalities and Applications
2024#27Issue 4981 - 990 pp.

In this note, we obtain a new version of the Hardy inequality which covers the recent inequality of Frank, Laptev, and Weidl derived in [2] and improves the result of Persson and Samko established in [8]. It gives new results in one dimension. We analyse radial and non-radial multidimensional versions of the considered inequality as consequences.

Hardy inequality , Lp-Lq Hardy inequality , non-increasing rearrangement , sharp constant

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Department of Mathematics Nazarbayev University, Astana, 010000, Kazakhstan
Institute of Mathematics and Mathematical Modelling, Almaty, 050010, Kazakhstan

Department of Mathematics Nazarbayev University
Institute of Mathematics and Mathematical Modelling

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