Fractional integration associated to higher order elliptic operators

Donggao Deng; Ming Xu; Lixin Yan

doi:10.1142/S0252959905000191

Fractional integration associated to higher order elliptic operators

Donggao Deng^*, Ming Xu, Lixin Yan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The authors prove the Hardy-Littlewood-Sobolev theorems for generalized fractional integrals L^-α/2 for 0 < α < n/m, where L is a complex elliptic operator of arbitrary order 2m on ℝⁿ.

Original language	English
Pages (from-to)	229-238
Number of pages	10
Journal	Chinese Annals of Mathematics. Series B
Volume	26
Issue number	2
DOIs	https://doi.org/10.1142/S0252959905000191
Publication status	Published - 2005

Keywords

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

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title = "Fractional integration associated to higher order elliptic operators",

abstract = "The authors prove the Hardy-Littlewood-Sobolev theorems for generalized fractional integrals L-α/2 for 0 < α < n/m, where L is a complex elliptic operator of arbitrary order 2m on ℝn.",

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

author = "Donggao Deng and Ming Xu and Lixin Yan",

year = "2005",

doi = "10.1142/S0252959905000191",

language = "English",

volume = "26",

pages = "229--238",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

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T1 - Fractional integration associated to higher order elliptic operators

AU - Deng, Donggao

AU - Xu, Ming

AU - Yan, Lixin

PY - 2005

Y1 - 2005

N2 - The authors prove the Hardy-Littlewood-Sobolev theorems for generalized fractional integrals L-α/2 for 0 < α < n/m, where L is a complex elliptic operator of arbitrary order 2m on ℝn.

AB - The authors prove the Hardy-Littlewood-Sobolev theorems for generalized fractional integrals L-α/2 for 0 < α < n/m, where L is a complex elliptic operator of arbitrary order 2m on ℝn.

KW - Fractional integrals

KW - Hardy-Littlewood-Sobolev theorem

KW - Higher order elliptic operator

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U2 - 10.1142/S0252959905000191

DO - 10.1142/S0252959905000191

M3 - Article

AN - SCOPUS:20744449474

SN - 0252-9599

VL - 26

SP - 229

EP - 238

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 2

ER -

Fractional integration associated to higher order elliptic operators

Abstract

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