본문 바로가기
KERD
논문KCI 등재

New Two-Weight Imbedding Inequalities for A-Harmonic Tensors

Gao Hongya|Chu Yuming|Chen Yanmin
경북대학교 자연과학대학 수학과|2007.03|Kyungpook Mathematical Journal|제47권 제1호|pp. 105-118

2

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

In this paper, we rst dene a new kind of two-weight-A3r (1;2;Ω)-weight,and then prove the imbedding inequalities for A-harmonic tensors. These results can beused to study the weighted norms of the homotopy operatorT from the Banach spaceLp(D;V l) to the Sobolev spaceW1; p(D;V l 1),l = 1 ;2; ;n, and to establish the basicweighted Lp-estimates forA-harmonic tensors.

참고문헌 (19)

  1. G. Bao, "Ar(¸)-weighted integral inequalities for A-harmonic tensors", 247, pp.466~477 (2000)
  2. S. Ding, "Weighted Hardy-Littlewood inequality for A-harmonic tensors", 125, pp.1727~1735 (1997)
  3. S. Ding, "Parametric weighted integral inequalities for A-harmonic tensors Zeischrift fur Analysis und ihre Anwendungen", 20, pp.691~708 (2001)
  4. S. Ding, "Weighted Caccioppoli-type estimates and weak reverse H¨older inequalities for A-harmonic tensors", 127, pp.2657~2664 (1999)
  5. S. Ding, "Weighted imbedding theorems in the space of differential forms", 262, pp.435~445 (2001)
  6. "Annals of Mathematics", pp.589~624 (1992)
  7. B. Liu, "Ar(¸)-weighted Caccioppoli-type and Poincar´e-type inequalities for A-harmonic tensors", 31(2), pp.115~122 (2002)
  8. C. A. Nolder, "Hardy-Littlewood theorems for A-harmonic tensors", 43, pp.613~631 (1999)
  9. C. A. Nolder, "Global integrability theorems for A-harmonic tensors", 247, pp.236~245 (2000)
  10. S. Ding, "Weighted norm inequalities for conjugate A-harmonic tensors", 203, pp.279~289 (1996)
  11. Iwaniec, "Integral estimates for null Lagrangians", pp.25~79 (1993)
  12. "Elliptic partial differential equation of second order" (1983), Springer-Verlag
  13. S. Ding, "Weighted Poincar´e-type inequalities for differential forms in Ls(¹)-averaging domains", 227, pp.200~215 (1998)
  14. Heinonen, "Nonlinear potential theory of degenerate elliptic equations" (1993), Clarendon Press
  15. S. Ding, "Weak reverse H¨older inequalities and imbedding inequalities for solutions to the A-harmonic equation", 51(5), pp.783~800 (2002)
  16. S. Ding, "New weighted integral inequalities for differential forms in some domains", 194, pp.43~56 (2000)
  17. Stein, "Singular integrals and differentiability properties of functions" (1990), Princton University Press Princton
  18. S. Ding, "Some examples of conjugate p-harmonic differential forms", 227, pp.251~270 (1998)
  19. Shi, "Two-weight Hardy-Littlewood inequalities and Caccioppoli-type inequalities for solutions to the A-harmonic equation"

관련 논문AI추천

Caccioppoli Type Inequality for Weak Solutions of A-harmonic Equation and Its ApplicationsHongya Gao, Yinzhu Chen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호Two-Weighted Intergal Inequalities for Differential FormsGu Zhihua, Shang Xiuyin, Zhang Zengbo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호Sobolev-type embedding theorems for harmonic and holomorphic Sobolev spaces권언근, 조홍래대한수학회 · 대한수학회지2003 · 제40권 제3호Weighted inequalities for commutators of potential type operatorsWenming Li대한수학회 · 대한수학회지2007 · 제44권 제6호On the volume mean value property for $M$-Harmonic functionsJeong Seon Yi대한수학회 · 대한수학회논문집2003 · 제18권 제3호Weighted Boundedness for the Function of MarcinkiewiczHussain M. Al-Qassem경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호

이 간행물의 다른 논문 (12건)

Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations with Several Positive and Negative CoefficientsElmetwally M. Elabbasy, Taher S. Hassan, Samir H. Sakerpp. 1-20On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayevpp. 21-30Stability and Optimal Harvesting in Lotka-Volterra Competition Model for Two-species with Stage StructureJ. F. M. Al-Omaripp. 31-56Meromorphic Functions with Weighted Sharing of One SetThamir C. Alzaharypp. 57-68On the Stability of Orthogonally Cubic Functional EquationsMohammad Sal Moslehian, Choonkil Baakpp. 69-76
원문 보기