黑龙江大学自然科学学报
黑龍江大學自然科學學報
흑룡강대학자연과학학보
JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
2005年
1期
138-140
,共3页
双权函数%A-调和方程%弱逆H(o)lder不等
雙權函數%A-調和方程%弱逆H(o)lder不等
쌍권함수%A-조화방정%약역H(o)lder불등
two - weight function%the A - harmonic equation%weak reverse H(o)lder inequality
应用广义H(o)lder不等式及双权的性质,给出了关于A-调和方程d*A(x,dw)=0解的局部双权弱逆H(o)lder不等式.作为局部结果的应用,利用Whitney覆盖性质,在域Ω上得到了关于A-调和张量的全局双权弱逆H(o)lder不等式.这些结果是经典弱逆Holder不等式的推广,可以用来研究微分形式的积分估计.
應用廣義H(o)lder不等式及雙權的性質,給齣瞭關于A-調和方程d*A(x,dw)=0解的跼部雙權弱逆H(o)lder不等式.作為跼部結果的應用,利用Whitney覆蓋性質,在域Ω上得到瞭關于A-調和張量的全跼雙權弱逆H(o)lder不等式.這些結果是經典弱逆Holder不等式的推廣,可以用來研究微分形式的積分估計.
응용엄의H(o)lder불등식급쌍권적성질,급출료관우A-조화방정d*A(x,dw)=0해적국부쌍권약역H(o)lder불등식.작위국부결과적응용,이용Whitney복개성질,재역Ω상득도료관우A-조화장량적전국쌍권약역H(o)lder불등식.저사결과시경전약역Holder불등식적추엄,가이용래연구미분형식적적분고계.
By using the generalized Holder inequality and property of the two - weight, the two -weight weak reverse H(o)lder inequality of solutions to the A - harmonic equation of the form d* A ( x, dω)= 0 is proved. As applications of the local result, the global case on domain Ω is obtained by properties of the Whitney covers. These results can be considered as generalizations of the responding classical inequalities, and can be used to estimate integrals of the differential forms.
