On Necessary Condition for the Variable Exponent Hardy Inequality
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.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/385925 |
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