On measures with the doubling condition

On measures with the doubling condition
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DOI:
10.1070/im1988v030n03abeh001034
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发表时间:
1988-06
期刊:
Mathematics of The Ussr-izvestiya
影响因子:
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通讯作者:
A. Volberg;S. Konyagin
A. Volberg;S. Konyagin
中科院分区:
其他
文献类型:
--
作者:
A. Volberg;S. Konyagin

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作者用加倍条件0 \qquad \mu(B(x, 2R)) \le C \mu(B(x, R)), $ SRC=http://ej.iop.org/images/0025-5726/30/3/A10/tex_im_1034_img3.gif/>刻画带有非平凡测度的度量空间。特别地,这种测度存在于中的任何紧集上。参考书目:14篇。
The author characterizes metric spaces that carry a nontrivial measure with the doubling condition 0 \qquad \mu(B(x, 2R)) \le C \mu(B(x, R)), $ SRC=http://ej.iop.org/images/0025-5726/30/3/A10/tex_im_1034_img3.gif/> where . In particular, such a measure exists on any compact set in . Bibliography: 14 titles.