Singular measures with absolutely continuous convolution squares on locally compact groups

被引：2

作者：

Bisbas, A ^{[1
]}

机构：

[1] Univ Aegean, Dept Math, Karlovasi 83200, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 10期

关键词：

singular measures; Rademacher functions;

D O I：

10.1090/S0002-9939-99-04827-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Saeki's result states that on any locally compact nondiscrete group there exist continuous singular measures, with respect to the left Haar measure, mu with mu * mu in L-p for all p, 1 less than or equal to p < infinity. This paper gives a new and short proof of this using Rademacher-Riesz products.

引用

页码：2865 / 2869

页数：5

共 50 条

[21] CONVOLUTION OF MEASURES ON LOCALLY COMPACT SPACES
FAIRCHIL.WW
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 198 - &
[22] TRANSFORMATION GROUPS AND ABSOLUTELY CONTINUOUS MEASURES
TENGSUN, L
VANROOIJ, A
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1968, 71 (02): : 225 - &
[23] ON A THEOREM OF SAEKI CONCERNING CONVOLUTION SQUARES OF SINGULAR MEASURES
Koerner, Thomas
[J]. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2008, 136 (03): : 439 - 464
[24] CONVOLUTION POWERS ON LOCALLY COMPACT-GROUPS
VAROPOULOS, NT
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 1987, 111 (04): : 333 - 342
[25] CONVOLUTION OPERATORS AND HOMOMORPHISMS OF LOCALLY COMPACT GROUPS
Delmonico, Cedric
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 84 (03) : 329 - 344
[26] ON CONVOLUTION SEMIGROUPS ON LOCALLY COMPACT NONCOMMUTATIVE GROUPS
Pantiruc, Marian-Dumitru
[J]. ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2014, 60 (01): : 9 - 18
[27] ISOTONE MEASURES ON LOCALLY COMPACT GROUPS
MORAN, W
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 5 (AUG): : 347 - &
[28] MEASURES ON LOCALLY COMPACT TOPOLOGICAL GROUPS
AMBROSE, W
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 61 (JAN) : 106 - 121
[29] ON FOURIER-STIELTJES TRANSFORMS OF SINGULAR OR ABSOLUTELY CONTINUOUS MEASURES
DOSS, R
[J]. MATHEMATISCHE ZEITSCHRIFT, 1967, 97 (01) : 77 - &
[30] CONTINUOUS AUTOMORPHISMS ON LOCALLY COMPACT GROUPS
WU, TS
[J]. MATHEMATISCHE ZEITSCHRIFT, 1967, 96 (03) : 256 - &

← 1 2 3 4 5 →