An Odd Rearrangement of L1(Rn)
We introduce an odd rearrangement f* defined by π(f)(x)=f*(x)=sgn(x1)f*(νn|x|n), x∈Rn, where f* is a decreasing rearrangement of the measurable function f. With the help of this odd rearrangement, we show that for each f∈L1(Rn), there exists a g∈H1(Rn) such that df=dg, where df is an distribution fu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/787840 |
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