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FRACTIONAL INTEGRATION ASSOCIATED TO HIGHER ORDER ELLIPTIC OPERATORS |
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Citation: |
DENG Donggao,XU Ming,YAN Lixin.FRACTIONAL INTEGRATION ASSOCIATED TO HIGHER ORDER ELLIPTIC OPERATORS[J].Chinese Annals of Mathematics B,2005,26(2):229~238 |
Page view: 1205
Net amount: 809 |
Authors: |
DENG Donggao; XU Ming;YAN Lixin |
Foundation: |
Project supported by the National Natural Science Foundation of China (No.10171111, No.10371734)
and the Foundation of Advanced Research Center, Zhongshan University. |
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Abstract: |
The authors prove the Hardy-Littlewood-Sobolev theorems for
generalized fractional integrals $L^{-\alpha/2}$ for $0<\alpha
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Keywords: |
Fractional integrals, Higher order elliptic operator, Hardy-Littlewood-
Sobolev theorem |
Classification: |
42B20, 35J15 |
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