Global weighted inequalities for operators and harmonic forms on manifolds

Yuming Xing; Congxin Wu

doi:10.1016/j.jmaa.2004.02.018

Global weighted inequalities for operators and harmonic forms on manifolds

Yuming Xing^*
, Congxin Wu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

17 Scopus citations

Abstract

In this paper, both the local and global weighted Sobolev-Poincaré imbedding inequalities and Poincaré inequalities for the composition T○G are established, where T is the homotopy operator and G is Green's operator applied to A-harmonic forms on manifolds.

Original language	English
Pages (from-to)	294-309
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	294
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2004.02.018
State	Published - 1 Jun 2004

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title = "Global weighted inequalities for operators and harmonic forms on manifolds",

abstract = "In this paper, both the local and global weighted Sobolev-Poincar{\'e} imbedding inequalities and Poincar{\'e} inequalities for the composition T○G are established, where T is the homotopy operator and G is Green's operator applied to A-harmonic forms on manifolds.",

author = "Yuming Xing and Congxin Wu",

year = "2004",

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AU - Xing, Yuming

AU - Wu, Congxin

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Y1 - 2004/6/1

N2 - In this paper, both the local and global weighted Sobolev-Poincaré imbedding inequalities and Poincaré inequalities for the composition T○G are established, where T is the homotopy operator and G is Green's operator applied to A-harmonic forms on manifolds.

AB - In this paper, both the local and global weighted Sobolev-Poincaré imbedding inequalities and Poincaré inequalities for the composition T○G are established, where T is the homotopy operator and G is Green's operator applied to A-harmonic forms on manifolds.

UR - https://www.scopus.com/pages/publications/3242732275

U2 - 10.1016/j.jmaa.2004.02.018

DO - 10.1016/j.jmaa.2004.02.018

M3 - 文章

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SN - 0022-247X

VL - 294

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EP - 309

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

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Global weighted inequalities for operators and harmonic forms on manifolds

Abstract

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