A Necessary and Sufficient Condition for Hardy’s Operator in the Variable Lebesgue Space

A Necessary and Sufficient Condition for Hardy’s Operator in the Variable Lebesgue Space

The variable exponent Hardy inequality xβ(x)-1∫0x‍f(t)dtLp(.)(0,l)≤Cxβ(x)fLp(.)(0,l), f≥0 is proved assuming that the exponents p:(0,l)→(1,∞), β:(0,l)→ℝ not rapidly oscilate near origin and 1/p′(0)-β>0. The main result is a necessary and sufficient condition on p, β generalizing known results on...

Full description

Saved in:
Bibliographic Details
Main Authors: Farman Mamedov, Yusuf Zeren
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/342910
Tags: Add Tag
No Tags, Be the first to tag this record!

Similar Items

Similar Items