Bounded linear functionals on the space of Henstock-Kurzweil integrable functions

Tuo-Yeong Lee

Czechoslovak Mathematical Journal (2009)

  • Volume: 59, Issue: 4, page 1005-1017
  • ISSN: 0011-4642

Abstract

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Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.

How to cite

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Lee, Tuo-Yeong. "Bounded linear functionals on the space of Henstock-Kurzweil integrable functions." Czechoslovak Mathematical Journal 59.4 (2009): 1005-1017. <http://eudml.org/doc/37973>.

@article{Lee2009,
abstract = {Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.},
author = {Lee, Tuo-Yeong},
journal = {Czechoslovak Mathematical Journal},
keywords = {Henstock-Kurzweil integral; bounded linear functional; bounded variation; Henstock-Kurzweil integral; bounded linear functional; bounded variation},
language = {eng},
number = {4},
pages = {1005-1017},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bounded linear functionals on the space of Henstock-Kurzweil integrable functions},
url = {http://eudml.org/doc/37973},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Lee, Tuo-Yeong
TI - Bounded linear functionals on the space of Henstock-Kurzweil integrable functions
JO - Czechoslovak Mathematical Journal
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 4
SP - 1005
EP - 1017
AB - Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.
LA - eng
KW - Henstock-Kurzweil integral; bounded linear functional; bounded variation; Henstock-Kurzweil integral; bounded linear functional; bounded variation
UR - http://eudml.org/doc/37973
ER -

References

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