Lipschitz and BMO norm inequalities for the composite operator on differential forms

Xuexin Li; Yong Wang; Yuming Xing

doi:10.1186/s13660-015-0896-9

Lipschitz and BMO norm inequalities for the composite operator on differential forms

Xuexin Li
, Yong Wang
, Yuming Xing^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

2 Scopus citations

Abstract

In this paper, we obtain Poincaré-type inequalities for the composite operator acting on differential forms and establish the Lp Lipschitz, and BMO norm estimates. We also give the weighted versions of the comparison theorems for the Lipschitz, and BMO norms.

Original language	English
Article number	370
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Inequalities and Applications
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13660-015-0896-9
State	Published - 1 Dec 2015

Keywords

Dirac operator
differential form
norm inequality

Access to Document

10.1186/s13660-015-0896-9

Cite this

@article{7cbff340de6b4178b99d61ed6f80fdcf,

title = "Lipschitz and BMO norm inequalities for the composite operator on differential forms",

abstract = "In this paper, we obtain Poincar{\'e}-type inequalities for the composite operator acting on differential forms and establish the Lp Lipschitz, and BMO norm estimates. We also give the weighted versions of the comparison theorems for the Lipschitz, and BMO norms.",

keywords = "Dirac operator, differential form, norm inequality",

author = "Xuexin Li and Yong Wang and Yuming Xing",

note = "Publisher Copyright: {\textcopyright} 2015, Li et al.",

year = "2015",

month = dec,

day = "1",

doi = "10.1186/s13660-015-0896-9",

language = "英语",

volume = "2015",

pages = "1--11",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

publisher = "Springer Nature",

number = "1",

}

TY - JOUR

T1 - Lipschitz and BMO norm inequalities for the composite operator on differential forms

AU - Li, Xuexin

AU - Wang, Yong

AU - Xing, Yuming

PY - 2015/12/1

Y1 - 2015/12/1

N2 - In this paper, we obtain Poincaré-type inequalities for the composite operator acting on differential forms and establish the Lp Lipschitz, and BMO norm estimates. We also give the weighted versions of the comparison theorems for the Lipschitz, and BMO norms.

AB - In this paper, we obtain Poincaré-type inequalities for the composite operator acting on differential forms and establish the Lp Lipschitz, and BMO norm estimates. We also give the weighted versions of the comparison theorems for the Lipschitz, and BMO norms.

KW - Dirac operator

KW - differential form

KW - norm inequality

UR - https://www.scopus.com/pages/publications/84948735423

U2 - 10.1186/s13660-015-0896-9

DO - 10.1186/s13660-015-0896-9

M3 - 文章

AN - SCOPUS:84948735423

SN - 1025-5834

VL - 2015

SP - 1

EP - 11

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 370

ER -

Lipschitz and BMO norm inequalities for the composite operator on differential forms

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this