Two-weight imbedding inequalities for solutions to the A-harmonic equation

Yuming Xing

doi:10.1016/j.jmaa.2005.03.019

Two-weight imbedding inequalities for solutions to the A-harmonic equation

Yuming Xing^*

^*Corresponding author for this work

School of Mathematics

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

13 Scopus citations

Abstract

We obtain the two-weight imbedding inequalities for solutions to the A-harmonic equation and explore their applications to the K-quasiregular mappings in Rⁿ. These results can be used to study the properties of the homotopy operator T : L^p(D, ∧^l) → W^1,p (D, ∧^l-1), l = 1, 2,...,n, and to establish the weighted L^p-estimate for solutions to the A-harmonic equation.

Original language	English
Pages (from-to)	555-564
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	307
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.03.019
State	Published - 15 Jul 2005

Keywords

A-harmonic equation
Differential forms
Inequalities
Two-weights

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10.1016/j.jmaa.2005.03.019

Cite this

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title = "Two-weight imbedding inequalities for solutions to the A-harmonic equation",

abstract = "We obtain the two-weight imbedding inequalities for solutions to the A-harmonic equation and explore their applications to the K-quasiregular mappings in Rn. These results can be used to study the properties of the homotopy operator T : Lp(D, ∧l) → W1,p (D, ∧l-1), l = 1, 2,...,n, and to establish the weighted Lp-estimate for solutions to the A-harmonic equation.",

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N2 - We obtain the two-weight imbedding inequalities for solutions to the A-harmonic equation and explore their applications to the K-quasiregular mappings in Rn. These results can be used to study the properties of the homotopy operator T : Lp(D, ∧l) → W1,p (D, ∧l-1), l = 1, 2,...,n, and to establish the weighted Lp-estimate for solutions to the A-harmonic equation.

AB - We obtain the two-weight imbedding inequalities for solutions to the A-harmonic equation and explore their applications to the K-quasiregular mappings in Rn. These results can be used to study the properties of the homotopy operator T : Lp(D, ∧l) → W1,p (D, ∧l-1), l = 1, 2,...,n, and to establish the weighted Lp-estimate for solutions to the A-harmonic equation.

KW - A-harmonic equation

KW - Differential forms

KW - Inequalities

KW - Two-weights

UR - https://www.scopus.com/pages/publications/18944400678

U2 - 10.1016/j.jmaa.2005.03.019

DO - 10.1016/j.jmaa.2005.03.019

M3 - 文章

AN - SCOPUS:18944400678

SN - 0022-247X

VL - 307

SP - 555

EP - 564

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Two-weight imbedding inequalities for solutions to the A-harmonic equation

Abstract

Keywords

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