FRACTIONAL INTEGRATION ASSOCIATED TO HIGHER ORDER ELLIPTIC OPERATORS

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
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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.
Abstract: The authors prove the Hardy-Littlewood-Sobolev theorems for generalized fractional integrals $L^{-\alpha/2}$ for $0<\alpha

Keywords:

Fractional integrals, Higher order elliptic operator, Hardy-Littlewood- Sobolev theorem

Classification:

42B20, 35J15
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