Two-weight Poincaré inequalities for the projection operator and a-harmonic tensors on Riemannian manifolds

Gejun Bao; Yuming Xing; Congxin Wu

doi:10.1215/ijm/1258131104

Two-weight Poincaré inequalities for the projection operator and a-harmonic tensors on Riemannian manifolds

Gejun Bao^*
, Yuming Xing
, Congxin Wu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

3 Scopus citations

Abstract

We prove both local and global two-weight Poincaré inequalities for A-harmonic tensors on Riemannian manifolds. We also prove an analogue for the projection operator.

Original language	English
Pages (from-to)	831-842
Number of pages	12
Journal	Illinois Journal of Mathematics
Volume	51
Issue number	3
DOIs	https://doi.org/10.1215/ijm/1258131104
State	Published - 2007

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title = "Two-weight Poincar{\'e} inequalities for the projection operator and a-harmonic tensors on Riemannian manifolds",

abstract = "We prove both local and global two-weight Poincar{\'e} inequalities for A-harmonic tensors on Riemannian manifolds. We also prove an analogue for the projection operator.",

author = "Gejun Bao and Yuming Xing and Congxin Wu",

year = "2007",

doi = "10.1215/ijm/1258131104",

language = "英语",

volume = "51",

pages = "831--842",

journal = "Illinois Journal of Mathematics",

issn = "0019-2082",

publisher = "Duke University Press",

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TY - JOUR

T1 - Two-weight Poincaré inequalities for the projection operator and a-harmonic tensors on Riemannian manifolds

AU - Bao, Gejun

AU - Xing, Yuming

AU - Wu, Congxin

PY - 2007

Y1 - 2007

N2 - We prove both local and global two-weight Poincaré inequalities for A-harmonic tensors on Riemannian manifolds. We also prove an analogue for the projection operator.

AB - We prove both local and global two-weight Poincaré inequalities for A-harmonic tensors on Riemannian manifolds. We also prove an analogue for the projection operator.

UR - https://www.scopus.com/pages/publications/46849099186

U2 - 10.1215/ijm/1258131104

DO - 10.1215/ijm/1258131104

M3 - 文章

AN - SCOPUS:46849099186

SN - 0019-2082

VL - 51

SP - 831

EP - 842

JO - Illinois Journal of Mathematics

JF - Illinois Journal of Mathematics

IS - 3

ER -

Two-weight Poincaré inequalities for the projection operator and a-harmonic tensors on Riemannian manifolds

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