Product variational measures and Fubini-Tonelli type theorems for the Henstock-Kurzweil integral

被引:6
|
作者
Lee, TY [1 ]
机构
[1] Nanyang Technol Univ, Natl Inst Educ, Singapore 637616, Singapore
关键词
Henstock variational measure; absolutely continuous; Henstock-Kurzweil integral;
D O I
10.1016/j.jmaa.2004.05.033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using Henstock variational measures, new Fubini-Tonelli type theorems are established for the Henstock-Kurzweil integral. In particular, we extend a result of Henstock. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:677 / 692
页数:16
相关论文
共 50 条
  • [21] Denjoy integral and Henstock-Kurzweil integral in vector lattices, I
    Toshiharu Kawasaki
    Czechoslovak Mathematical Journal, 2009, 59 : 381 - 399
  • [22] On the Darboux problem involving the distributional Henstock-Kurzweil integral
    Ye, Guoju
    Cheng, Rong
    Liu, Wei
    Mei, Hui
    BOUNDARY VALUE PROBLEMS, 2018,
  • [23] DENJOY INTEGRAL AND HENSTOCK-KURZWEIL INTEGRAL IN VECTOR LATTICES, II
    Kawasaki, Toshiharu
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (02) : 401 - 417
  • [24] The Fuzzy Henstock-Kurzweil Delta Integral on Time Scales
    Zhao, Dafang
    Ye, Guoju
    Liu, Wei
    Torres, Delfim F. M.
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 525 - 541
  • [25] A MULTIDIMENSIONAL INTEGRATION BY PARTS FORMULA FOR THE HENSTOCK-KURZWEIL INTEGRAL
    Lee, Tuo-Yeong
    MATHEMATICA BOHEMICA, 2008, 133 (01): : 63 - 74
  • [26] THE DARBOUX PROBLEM INVOLVING THE DISTRIBUTIONAL HENSTOCK-KURZWEIL INTEGRAL
    Lu, Yueping
    Ye, Guoju
    Wang, Ying
    Liu, Wei
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2012, 55 : 197 - 205
  • [27] Differential and integral equations with Henstock-Kurzweil integrable functions
    Heikkila, S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (01) : 171 - 179
  • [28] THE DISTRIBUTIONAL HENSTOCK-KURZWEIL INTEGRAL AND MEASURE DIFFERENTIAL EQUATIONS
    Zhou, H.
    Ye, G.
    Liu, W.
    Wang, O.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (02) : 363 - 374
  • [29] The LSRS property and the convergence theorem of Henstock-Kurzweil integral
    Xu, DF
    ACTA MATHEMATICA SCIENTIA, 1997, 17 (04) : 443 - 448