Poincaré-Type Inequalities for the Composite Operator in L ? -Averaging Domains

Joint Authors

Xing, Yuming
Shi, Guannan
Sun, BaiQing

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-15

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

We first establish the local Poincaré inequality with L ? -averaging domains for the composition of the sharp maximal operator and potential operator, applied to the nonhomogenous A -harmonic equation.

Then, according to the definition of L ? -averaging domains and relative properties, we demonstrate the global Poincaré inequality with L ? -averaging domains.

Finally, we give some illustrations for these theorems.

American Psychological Association (APA)

Shi, Guannan& Xing, Yuming& Sun, BaiQing. 2014. Poincaré-Type Inequalities for the Composite Operator in L ? -Averaging Domains. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033931

Modern Language Association (MLA)

Shi, Guannan…[et al.]. Poincaré-Type Inequalities for the Composite Operator in L ? -Averaging Domains. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1033931

American Medical Association (AMA)

Shi, Guannan& Xing, Yuming& Sun, BaiQing. Poincaré-Type Inequalities for the Composite Operator in L ? -Averaging Domains. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033931

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033931