Inequalities for the composition of Green's operator and the potential operator

Zhimin Dai; Yuming Xing; Shusen Ding; Yong Wang

doi:10.1186/1029-242X-2012-271

Inequalities for the composition of Green's operator and the potential operator

Zhimin Dai^*
, Yuming Xing
, Shusen Ding
, Yong Wang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Seattle University

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

3 Scopus citations

Abstract

We first establish the L^p -norm inequalities for the composition of Green's operator and the potential operator. Then we develop the L ^φ -norm inequalities for the composition in the L^φ -averaging domains. Finally, we display some examples for applications.

Original language	English
Article number	271
Journal	Journal of Inequalities and Applications
Volume	2012
DOIs	https://doi.org/10.1186/1029-242X-2012-271
State	Published - Nov 2012

Keywords

Differential forms
Green's operator
The luxemburg norm
The potential operator

Access to Document

10.1186/1029-242X-2012-271

Cite this

@article{f2e5cdc2eed741d182173eb4069c66da,

title = "Inequalities for the composition of Green's operator and the potential operator",

abstract = "We first establish the Lp -norm inequalities for the composition of Green's operator and the potential operator. Then we develop the L φ -norm inequalities for the composition in the Lφ -averaging domains. Finally, we display some examples for applications.",

keywords = "Differential forms, Green's operator, The luxemburg norm, The potential operator",

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

year = "2012",

month = nov,

doi = "10.1186/1029-242X-2012-271",

language = "英语",

volume = "2012",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

publisher = "Springer Nature",

}

TY - JOUR

T1 - Inequalities for the composition of Green's operator and the potential operator

AU - Dai, Zhimin

AU - Xing, Yuming

AU - Ding, Shusen

AU - Wang, Yong

PY - 2012/11

Y1 - 2012/11

N2 - We first establish the Lp -norm inequalities for the composition of Green's operator and the potential operator. Then we develop the L φ -norm inequalities for the composition in the Lφ -averaging domains. Finally, we display some examples for applications.

AB - We first establish the Lp -norm inequalities for the composition of Green's operator and the potential operator. Then we develop the L φ -norm inequalities for the composition in the Lφ -averaging domains. Finally, we display some examples for applications.

KW - Differential forms

KW - Green's operator

KW - The luxemburg norm

KW - The potential operator

UR - https://www.scopus.com/pages/publications/84894282170

U2 - 10.1186/1029-242X-2012-271

DO - 10.1186/1029-242X-2012-271

M3 - 文章

AN - SCOPUS:84894282170

SN - 1025-5834

VL - 2012

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 271

ER -

Inequalities for the composition of Green's operator and the potential operator

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this