Ar ( Ω )-weighted inequalities for A-harmonic tensors and related operators

Shusen Ding; Yuming Xing; Gejun Bao

doi:10.1016/j.jmaa.2005.06.104

A_r ( Ω )-weighted inequalities for A-harmonic tensors and related operators

Shusen Ding
, Yuming Xing^*
, Gejun Bao

^*Corresponding author for this work

School of Mathematics

Seattle University
Harbin Institute of Technology

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

2 Scopus citations

Abstract

We first prove the local A_r ( Ω )-weighted Poincaré inequality for A-harmonic tensors on domain Ω and the analogue for the projection operator. Then, we prove the global A_r ( Ω )-weighted Poincaré inequality for A-harmonic tensors. Finally, using the global A_r ( Ω )-weighted inequality established for A-harmonic tensors, we obtain the global A_r ( Ω )-weighted Poincaré inequality for the projection operator.

Original language	English
Pages (from-to)	219-232
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	322
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2005.06.104
State	Published - 1 Oct 2006

Keywords

A-harmonic tensors
Poincaré inequalities
Projection operator

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10.1016/j.jmaa.2005.06.104

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abstract = "We first prove the local Ar ( Ω )-weighted Poincar{\'e} inequality for A-harmonic tensors on domain Ω and the analogue for the projection operator. Then, we prove the global Ar ( Ω )-weighted Poincar{\'e} inequality for A-harmonic tensors. Finally, using the global Ar ( Ω )-weighted inequality established for A-harmonic tensors, we obtain the global Ar ( Ω )-weighted Poincar{\'e} inequality for the projection operator.",

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author = "Shusen Ding and Yuming Xing and Gejun Bao",

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AU - Ding, Shusen

AU - Xing, Yuming

AU - Bao, Gejun

PY - 2006/10/1

Y1 - 2006/10/1

N2 - We first prove the local Ar ( Ω )-weighted Poincaré inequality for A-harmonic tensors on domain Ω and the analogue for the projection operator. Then, we prove the global Ar ( Ω )-weighted Poincaré inequality for A-harmonic tensors. Finally, using the global Ar ( Ω )-weighted inequality established for A-harmonic tensors, we obtain the global Ar ( Ω )-weighted Poincaré inequality for the projection operator.

AB - We first prove the local Ar ( Ω )-weighted Poincaré inequality for A-harmonic tensors on domain Ω and the analogue for the projection operator. Then, we prove the global Ar ( Ω )-weighted Poincaré inequality for A-harmonic tensors. Finally, using the global Ar ( Ω )-weighted inequality established for A-harmonic tensors, we obtain the global Ar ( Ω )-weighted Poincaré inequality for the projection operator.

KW - A-harmonic tensors

KW - Poincaré inequalities

KW - Projection operator

UR - https://www.scopus.com/pages/publications/33646708734

U2 - 10.1016/j.jmaa.2005.06.104

DO - 10.1016/j.jmaa.2005.06.104

M3 - 文章

AN - SCOPUS:33646708734

SN - 0022-247X

VL - 322

SP - 219

EP - 232

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

A_r ( Ω )-weighted inequalities for A-harmonic tensors and related operators

Abstract

Keywords

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