Imbedding inequalities with Lφ-norms for composite operators

Yuming Xing; Shusen Ding

doi:10.1186/1029-242X-2013-544

Imbedding inequalities with L^φ-norms for composite operators

Yuming Xing^*
, Shusen Ding

^*Corresponding author for this work

School of Mathematics

Seattle University

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

1 Scopus citations

Abstract

In this paper, we prove imbedding inequalities with L^φ-norms for the composition of the potential operator and homotopy operator applied to differential forms. We also establish the global imbedding inequality in L ^φ-averaging domains.

Original language	English
Article number	544
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-544
State	Published - Nov 2013

Keywords

Differential forms
Homotopy operators
Imbedding inequalities
Potential operators

Access to Document

10.1186/1029-242X-2013-544

Cite this

@article{e49cd88e27344d4aa90e6c35fe3cf810,

title = "Imbedding inequalities with Lφ-norms for composite operators",

abstract = "In this paper, we prove imbedding inequalities with Lφ-norms for the composition of the potential operator and homotopy operator applied to differential forms. We also establish the global imbedding inequality in L φ-averaging domains.",

keywords = "Differential forms, Homotopy operators, Imbedding inequalities, Potential operators",

author = "Yuming Xing and Shusen Ding",

year = "2013",

month = nov,

doi = "10.1186/1029-242X-2013-544",

language = "英语",

volume = "2013",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

publisher = "Springer Nature",

}

TY - JOUR

T1 - Imbedding inequalities with Lφ-norms for composite operators

AU - Xing, Yuming

AU - Ding, Shusen

PY - 2013/11

Y1 - 2013/11

N2 - In this paper, we prove imbedding inequalities with Lφ-norms for the composition of the potential operator and homotopy operator applied to differential forms. We also establish the global imbedding inequality in L φ-averaging domains.

AB - In this paper, we prove imbedding inequalities with Lφ-norms for the composition of the potential operator and homotopy operator applied to differential forms. We also establish the global imbedding inequality in L φ-averaging domains.

KW - Differential forms

KW - Homotopy operators

KW - Imbedding inequalities

KW - Potential operators

UR - https://www.scopus.com/pages/publications/84897634868

U2 - 10.1186/1029-242X-2013-544

DO - 10.1186/1029-242X-2013-544

M3 - 文章

AN - SCOPUS:84897634868

SN - 1025-5834

VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 544

ER -

Imbedding inequalities with L^φ-norms for composite operators

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this