DECOMPOSITION INTO ATOMS OF DISTRIBUTIONS ON SPACES OF HOMOGENEOUS TYPE

被引：185

作者：

MACIAS, RA

SEGOVIA, C

机构：

[1] Departamento de Matemática, Universidade Estadual de Campinas, Campinas, 13100, S.P.

来源：

ADVANCES IN MATHEMATICS | 1979年 / 33卷 / 03期

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.

引用

页码：271 / 309

页数：39

共 10 条

[1] ATOMIC DECOMPOSITION OF DISTRIBUTIONS IN PARABOLIC HP SPACES [J].

CALDERON, AP .

ADVANCES IN MATHEMATICS, 1977, 25 (03) :216-225

[2] PARABOLIC MAXIMAL FUNCTIONS ASSOCIATED WITH A DISTRIBUTION [J].

CALDERON, AP ;

TORCHINSKY, A .

ADVANCES IN MATHEMATICS, 1975, 16 (01) :1-64

[3] EXTENSIONS OF HARDY SPACES AND THEIR USE IN ANALYSIS [J].

COIFMAN, RR ;

WEISS, G .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (04) :569-645

[4]

COIFMAN RR, 1971, LECTURE NOTES MATH

[5]

COIFMAN RR, 1974, STUDIA MATH, V51, P267

[6]

FEFFERMAN C, 1972, ACTA MATH-UPPSALA, V129, P137, DOI 10.1007/BF02392215

[7]

LATTER RH, 1978, STUD MATH, V62, P92

[8]

Macias R., 1974, THESIS WASHINGTON U

[9] LIPSCHITZ FUNCTIONS ON SPACES OF HOMOGENEOUS TYPE [J].

MACIAS, RA ;

SEGOVIA, C .

ADVANCES IN MATHEMATICS, 1979, 33 (03) :257-270

[10]

MACIAS RA, 1977, 11 COL BRAS MAT POC

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