Affine fractional Lp Polya-Szego inequalities
Youjiang Lin, Jiaming Lan, Jinghong Zhou
TL;DR
This paper establishes new affine fractional Lp Polya-Szego inequalities in ^n that improve upon traditional Euclidean versions, offering stronger bounds for two functions.
Contribution
It introduces affine fractional Lp Polya-Szego inequalities that are stronger than existing Euclidean inequalities for functions on ^n.
Findings
Affine inequalities are strictly stronger than Euclidean ones.
New inequalities hold for two functions on ^n.
The results extend classical Polya-Szego inequalities to the affine fractional Lp setting.
Abstract
Affine fractional Lp Polya-Szego inequalities for two functions on R^n are established, which are stronger than the Euclidean fractional Lp Polya-Szego inequalities.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results