Adjoint classes of functions in the H 1 sense

Piotr Sworowski

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 2, page 505-522
  • ISSN: 0011-4642

Abstract

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Using the concept of the H 1 -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.

How to cite

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Sworowski, Piotr. "Adjoint classes of functions in the $H_1$ sense." Czechoslovak Mathematical Journal 57.2 (2007): 505-522. <http://eudml.org/doc/31144>.

@article{Sworowski2007,
abstract = {Using the concept of the $ \{\mathrm \{H\}\}_1$-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.},
author = {Sworowski, Piotr},
journal = {Czechoslovak Mathematical Journal},
keywords = {Stieltjes integral; Kurzweil integral; Henstock integral; $\{\mathrm \{H\}\}_1$-integral; Riemann-Lebesgue theorem; variational measure; adjoint classes; Stieltjes integral; Kurzweil integral; Henstock integral; Riemann-Lebesgue theorem; variational measure; adjoint classes},
language = {eng},
number = {2},
pages = {505-522},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Adjoint classes of functions in the $H_1$ sense},
url = {http://eudml.org/doc/31144},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Sworowski, Piotr
TI - Adjoint classes of functions in the $H_1$ sense
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 2
SP - 505
EP - 522
AB - Using the concept of the $ {\mathrm {H}}_1$-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.
LA - eng
KW - Stieltjes integral; Kurzweil integral; Henstock integral; ${\mathrm {H}}_1$-integral; Riemann-Lebesgue theorem; variational measure; adjoint classes; Stieltjes integral; Kurzweil integral; Henstock integral; Riemann-Lebesgue theorem; variational measure; adjoint classes
UR - http://eudml.org/doc/31144
ER -

References

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  11. On the relation between Young’s and Kurzweil’s concept of Stieltjes integral, Cas. Pest. Mat. 98 (1973), 237–251. (1973) Zbl0266.26006MR0322113
  12. On H 1 -integrable functions, Real Anal. Exch. 27 (2002), 275–286. (2002) Zbl1015.26017MR1887858
  13. Some comments on the H 1 -integral, Real Anal. Exch. 29 (2004), 789–797. (2004) Zbl1078.26008MR2083813
  14. Adjoint classes for generalized Riemann-Stieltjes integrals. 27th Summer Symposium Conference Reports, Opava  2003, Real Anal. Exch. (2003), 41–45. (2003) 
  15. Real Functions. Lecture Notes in Mathematics, Vol. 1170, Springer-Verlag, Berlin, 1985. (1985) MR0818744

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