On Necessary Condition for the Variable Exponent Hardy Inequality
Aziz Harman
Journal of Function Spaces and Applications · 2012
doi:10.1155/2012/385925 (opens in a new tab)
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Abstract
We derive a necessary condition for exponent functions 𝑝,𝛽 such that the variable exponent Hardy inequality ‖𝑥𝛽(𝑥)−1∫𝑥0𝑓(𝑡)𝑑𝑡‖𝐿𝑝(.)(0,𝑙)≤𝐶‖𝑥𝛽(𝑥)𝑓‖𝐿𝑝(.)(0,𝑙) holds.
Abstract licence: CC BY
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