UPPER CONICAL DENSITY RESULTS FOR GENERAL MEASURES ON Rn

被引：11
|
作者：
Csornyei, Marianna [1 ]
Kaenmaki, Antti [2 ]
Rajala, Tapio [2 ]
Suomala, Ville [2 ]
机构：
[1] UCL, Dept Math, London WC1E 6BT, England
[2] Univ Jyvaskyla, Dept Math & Stat, Jyvaskyla 40014, Finland
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2010年 / 53卷
基金：
芬兰科学院;
关键词：
upper conical density; Hausdorff dimension; homogeneity of measures; rectifiability;
D O I：
10.1017/S0013091508001156
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study conical density properties of general Borel measures on Euclidean spaces. Our results are analogous to the previously known result on the upper density properties of Hausdorff and packing-type measures.
引用
收藏
页码：311 / 331
页数：21
相关论文
共 50 条
  • [1] On the conical density properties of measures on Rn
    Suomala, V
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2005, 138 : 493 - 512
  • [2] On Upper Conical Density Results
    Kaenmaki, Antti
    RECENT DEVELOPMENTS IN FRACTALS AND RELATED FIELDS, 2010, : 45 - 54
  • [3] Conical upper density theorems and porosity of measures
    Kaenmaki, Antti
    Suomala, Ville
    ADVANCES IN MATHEMATICS, 2008, 217 (03) : 952 - 966
  • [4] NONSYMMETRIC CONICAL UPPER DENSITY AND k-POROSITY
    Kaenmaki, Antti
    Suomala, Ville
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (03) : 1183 - 1195
  • [5] The general results of the RN4CAST survey in Italy
    Sasso, Loredana
    Bagnasco, Annamaria
    Zanini, Milko
    Catania, Gianluca
    Aleo, Giuseppe
    Santullo, Antonietta
    Spandonaro, Federico
    Icardi, Giancarlo
    Watson, Roger
    Sermeus, Walter
    JOURNAL OF ADVANCED NURSING, 2017, 73 (09) : 2028 - 2030
  • [6] CONICAL MEASURES AND CLOSED VECTOR MEASURES
    Okada, Susumu
    Ricker, Werner J.
    FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2018, 59 (02) : 191 - 230
  • [7] Sharp upper bounds for the density of some invariant measures
    Fornaro, Simona
    Fusco, Nicola
    Metafune, Giorgio
    Pallara, Diego
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2009, 139 : 1145 - 1161
  • [8] LOCALIZABLE CONICAL MEASURES
    BECKER, R
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1982, 33 (DEC): : 394 - 400
  • [9] LOCALIZABLE CONICAL MEASURES
    BECKER, R
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 290 (03): : 155 - 156
  • [10] REPRESENTATION OF CONICAL MEASURES
    BECKER, R
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (03): : 205 - 208
12345