DECOMPOSITION INTO ATOMS OF DISTRIBUTIONS ON SPACES OF HOMOGENEOUS TYPE

被引:183
作者
MACIAS, RA
SEGOVIA, C
机构
[1] Departamento de Matemática, Universidade Estadual de Campinas, Campinas, 13100, S.P.
关键词
D O I
10.1016/0001-8708(79)90013-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A maximal function is introduced for distributions acting on certain spaces of Lipschitz functions defined on spaces of homogeneous type. A decomposition into atoms for distributions whose maximal functions belong to Lp, p ≤ 1, is obtained, as well as, an approximation theorem of these distributions by Lipschitz functions. © 1979.
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页码:271 / 309
页数:39
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