利用加权技巧,证明了A-调和张量的局部Ar(λ1,λ2;Ω)-双权弱逆Holder不等式.作为局部结果的应用,证明了一个整体Ar(λ1,λ2;Ω)一双权积分不等式.这些结果可以看作是经典结论的推广.
[1] IWANIEC T, MARTIN G. Geometric function theory and nonlinear analysis [M]. Oxford:clarendon Press 2001.
[2] NOLDER C A. Hardy-Littlewood theorems for A-harmonic tensors [J]. Illinois Journal of Mathematics 1999, 43.
[3] DINGS S, SYLVESTER D. Weak reverse H61der inequalities and imbedding inequalities for solutions to the A-harmonic equation [J]. Nonlinear Analysis-Theory Methods and Applications 2002, 51.
[4] GARNETT J B. Bounded analytic function [M]. New York:Academic Press, Inc 1970.
[5] LI J, GAO H Y. Weighted integral inequalities for differential forms [J]. Journal of Mathematics of Kyoto University 2004, 44(04).
[6] Bao GJ.. A(r)(lambda)-weighted integral inequalities for A-harmonic tensors [J]. Journal of Mathematical Analysis and Applications 2000, 2(2).
[7] LIU B, DINGS S. The monotone of Ls(μ)-averaging domains and weighted weak reverse Holder inequality [J]. Journal of Mathematical Analysis and Applications 1999, 237.
[8] DINGS S. Weighted Caecioppoli-type estimates and weak reverse Holder inequalities for A-harmonic tensors tensors [J]. Proceedings of the American Mathematical Society 1999, 127.
