Inequalities for two type potential operators on differential forms

Yu Wang; Yuming Xing

doi:10.1016/j.jmaa.2014.03.048

Inequalities for two type potential operators on differential forms

Yu Wang
, Yuming Xing^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

3 Scopus citations

Abstract

The purpose of this paper is to derive some strong-type inequalities for convolution type potential operator applied on differential forms. Caccioppoli-type inequalities for integral type potential operator acting on A-harmonic tensor are also obtained.

Original language	English
Pages (from-to)	774-786
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	417
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2014.03.048
State	Published - 15 Sep 2014

Keywords

Caccioppoli-type inequalities
Differential forms
Norm inequalities
Potential operator

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10.1016/j.jmaa.2014.03.048

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title = "Inequalities for two type potential operators on differential forms",

abstract = "The purpose of this paper is to derive some strong-type inequalities for convolution type potential operator applied on differential forms. Caccioppoli-type inequalities for integral type potential operator acting on A-harmonic tensor are also obtained.",

keywords = "Caccioppoli-type inequalities, Differential forms, Norm inequalities, Potential operator",

author = "Yu Wang and Yuming Xing",

year = "2014",

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T1 - Inequalities for two type potential operators on differential forms

AU - Wang, Yu

AU - Xing, Yuming

PY - 2014/9/15

Y1 - 2014/9/15

N2 - The purpose of this paper is to derive some strong-type inequalities for convolution type potential operator applied on differential forms. Caccioppoli-type inequalities for integral type potential operator acting on A-harmonic tensor are also obtained.

AB - The purpose of this paper is to derive some strong-type inequalities for convolution type potential operator applied on differential forms. Caccioppoli-type inequalities for integral type potential operator acting on A-harmonic tensor are also obtained.

KW - Caccioppoli-type inequalities

KW - Differential forms

KW - Norm inequalities

KW - Potential operator

UR - https://www.scopus.com/pages/publications/84899114656

U2 - 10.1016/j.jmaa.2014.03.048

DO - 10.1016/j.jmaa.2014.03.048

M3 - 文章

AN - SCOPUS:84899114656

SN - 0022-247X

VL - 417

SP - 774

EP - 786

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Inequalities for two type potential operators on differential forms

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Keywords

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