非倍测度下局部A_p权的性质

The Properties of Local A_p Weights on Nondoubling Measures

文献[1]介绍了经典A_p权的定义,随后文献[2]介绍了局部A_p权的定义,最后在文献[3]-[5]中了解到非倍测度的定义和倍测度下的局部A_p权的很多性质的证明.给出了可测度量空间中非倍测度下局部A_p权的性质,并且特别证明了非倍测度下局部A_p权性质是和方体边长的限制常数无关的.

In this paper,the definition of classical A_p rights was introduced through literature[1],then the definition of local A_p rights was introduced through literature[2]. In the end,the definition of non-double measure and the many properties of local A_p rights under the double measure were proved. Therefore,the property of the partial power of the measurable measurement space was given,and the local A_p property of the non-double measure is independent of the limit constant of the side length of the square were proved.