| 双权A_r~λ(Ω)弱逆Hlder不等式 |
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| 作者单位： | 河北理工大学理学院，河北大学数学与计算机学院，河北理工大学理学院，河北理工大学理学院 河北唐山063009，河北保定071002，河北省数学研究中心，河北石家庄050016，河北唐山063009，河北唐山063009 |
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| 摘 要： | 推导A-调和方程d*A(x,dω)=0解的局部Arλ(Ω)双权弱逆Hlder不等式,其x∈Ω,a.e,对任意ξ∈Λl(Rn),算子A:Ω×Λl(Rn)→Λl(Rn)满足条件|A(x,)ξ|≤α|ξ|p-1和〈A(x,ξ)ξ〉≥|ξ|p,常数α满足0<α≤1,固定指数p满足1
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| 关 键 词： | A-调和方程 双权 弱逆Hlder不等式 |
Two-weight A_r~λ(Ω) Weak Reverse Hlder Inequality |
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| TONG Yu-xia,GAO Hong-ya,,GU Jian-tao,An Min. Two-weight A_r~λ(Ω) Weak Reverse Hlder Inequality[J]. Journal of Hebei University (Natural Science Edition), 2007, 0(4) |
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| Authors: | TONG Yu-xia GAO Hong-ya GU Jian-tao An Min |
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| Affiliation: | TONG Yu-xia1,GAO Hong-ya2,3,GU Jian-tao1,An Min1 |
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| Abstract: | A local two-weght Arλ(Ω)weak reverse Hlder inequality for differential forms is estabilished,which satisfies the A-harmonic equation d*(x,dω)=0,where the operator A:Ω×Λl(Rn)→ΛI(Rn) satisfies the conditions |A(x,ξ)|≤α|ξ|p-1 and 〈A(x,ξ),ξ〉≥|ξ|p for almost every x∈Ω and all ξ∈Λl(Rn).Here 0<α≤1 is a constant and 1
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| Keywords: | A-harmonic equation two-weight weak reverse Hlder inequality |
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