A Note on Noneffective Weights in Variable Lebesgue Spaces
We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show that Lp(⋅)(Ω)=Lωp(⋅)(Ω) if and only if ω(x)1/p(x)~constant in the set where p(⋅)<∞, and ω(x)~constant in the set where p(⋅)=∞.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/853232 |
| Summary: | We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show that Lp(⋅)(Ω)=Lωp(⋅)(Ω) if and only if ω(x)1/p(x)~constant in the set where p(⋅)<∞, and ω(x)~constant in the set where p(⋅)=∞. |
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| ISSN: | 0972-6802 1758-4965 |