Weighted Herz Spaces and Regularity Results
It is proved that, for the nondivergence form elliptic equations ∑𝑛𝑖,𝑗=1𝑎𝑖𝑗𝑢𝑥𝑖𝑥𝑗=𝑓, if 𝑓 belongs to the weighted Herz spaces 𝐾𝑞𝑝(𝜑,𝑤), then 𝑢𝑥𝑖𝑥𝑗∈𝐾𝑞𝑝(𝜑,𝑤), where 𝑢 is the 𝑊2,𝑝-solution of the equations. In order to obtain this, the authors first establish the weighted boundedness for the commutators...
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| Main Authors: | , |
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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/10.1155/2012/283730 |
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