Weighted Hardy type inequalities for supremum operators on the cones of monotone functions

Weighted Hardy type inequalities for supremum operators on the cones of monotone functions

Abstract The complete characterization of the weighted L p − L r $L^{p}-L^{r}$ inequalities of supremum operators on the cones of monotone functions for all 0 < p , r ≤ ∞ $0< p,r\leq \infty$ is given.

Bibliographic Details
Main Authors: Lars-Erik Persson, Guldarya E Shambilova, Vladimir D Stepanov
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
Hardy type inequality
weight
supremum operator
Lebesgue space
monotone function
Online Access:http://link.springer.com/article/10.1186/s13660-016-1168-z

Internet

http://link.springer.com/article/10.1186/s13660-016-1168-z

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