BMO and Lipschitz norm estimates for the composition of Green's operator and the potential operator

Zhimin Dai; Yuming Xing; Shusen Ding

doi:10.1186/1029-242X-2013-26

BMO and Lipschitz norm estimates for the composition of Green's operator and the potential operator

Zhimin Dai
, Yuming Xing^*
, Shusen Ding

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Seattle University

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

1 Scopus citations

Abstract

In this paper, we establish BMO and Lipschitz norm inequalities for the composition of Green's operator and the potential operator. We also investigate the relationship among the Lipschitz norm, the BMO norm and the Lp-norm. Finally, we display some examples for applications.

Original language	English
Article number	26
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-26
State	Published - Dec 2013

Keywords

BMO norm
Differential forms
Green's operator
Lipschitz norm
Potential operator

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10.1186/1029-242X-2013-26

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title = "BMO and Lipschitz norm estimates for the composition of Green's operator and the potential operator",

abstract = "In this paper, we establish BMO and Lipschitz norm inequalities for the composition of Green's operator and the potential operator. We also investigate the relationship among the Lipschitz norm, the BMO norm and the Lp-norm. Finally, we display some examples for applications.",

keywords = "BMO norm, Differential forms, Green's operator, Lipschitz norm, Potential operator",

author = "Zhimin Dai and Yuming Xing and Shusen Ding",

year = "2013",

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T1 - BMO and Lipschitz norm estimates for the composition of Green's operator and the potential operator

AU - Dai, Zhimin

AU - Xing, Yuming

AU - Ding, Shusen

PY - 2013/12

Y1 - 2013/12

N2 - In this paper, we establish BMO and Lipschitz norm inequalities for the composition of Green's operator and the potential operator. We also investigate the relationship among the Lipschitz norm, the BMO norm and the Lp-norm. Finally, we display some examples for applications.

AB - In this paper, we establish BMO and Lipschitz norm inequalities for the composition of Green's operator and the potential operator. We also investigate the relationship among the Lipschitz norm, the BMO norm and the Lp-norm. Finally, we display some examples for applications.

KW - BMO norm

KW - Differential forms

KW - Green's operator

KW - Lipschitz norm

KW - Potential operator

UR - https://www.scopus.com/pages/publications/84894287863

U2 - 10.1186/1029-242X-2013-26

DO - 10.1186/1029-242X-2013-26

M3 - 文章

AN - SCOPUS:84894287863

SN - 1025-5834

VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 26

ER -

BMO and Lipschitz norm estimates for the composition of Green's operator and the potential operator

Abstract

Keywords

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