Adjoint classes of functions in the H1 sense

被引：3

作者：

Sworowski, Piotr ^{[1
]}

机构：

[1] Casimirus Great Univ, Dept Math, PL-85072 Bydgoszcz, Poland

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2007年 / 57卷 / 02期

关键词：

Stieltjes integral; Kurzweil integral; Henstock integral; H-1-integral; Riemann-Lebesgue theorem; variational measure; adjoint classes;

D O I：

10.1007/s10587-007-0095-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the concept of the Hi-integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.

引用

页码：505 / 522

页数：18

共 5 条

[1] Adjoint classes of functions in the H1 sense
Piotr Sworowski
Czechoslovak Mathematical Journal, 2007, 57 : 505 - 522
[2] Adjoint classes of Kurzweil–Stieltjes integrable functions
G. A. Monteiro
Monatshefte für Mathematik, 2018, 186 : 175 - 188
[3] Adjoint classes of Kurzweil-Stieltjes integrable functions
Monteiro, G. A.
MONATSHEFTE FUR MATHEMATIK, 2018, 186 (01): : 175 - 188
[4] H1-integrals with respect to some bases
Sworowski, Piotr
LITHUANIAN MATHEMATICAL JOURNAL, 2013, 53 (03) : 356 - 366
[5] Integration with respect to Hölder rough paths of order greater than 1/4: an approach via fractional calculus
Yu Ito
Collectanea Mathematica, 2022, 73 : 13 - 42

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