Pfeffer integrability does not imply M 1 -integrability

Jiří Jarník; Jaroslav Kurzweil

Czechoslovak Mathematical Journal (1994)

  • Volume: 44, Issue: 1, page 47-56
  • ISSN: 0011-4642

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Jarník, Jiří, and Kurzweil, Jaroslav. "Pfeffer integrability does not imply $M_1$-integrability." Czechoslovak Mathematical Journal 44.1 (1994): 47-56. <http://eudml.org/doc/31401>.

@article{Jarník1994,
author = {Jarník, Jiří, Kurzweil, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {Pfeffer integral; generalized Riemann integral; divergence theorem; -integral; -dimensional non-absolute integral; differentiable vector fields},
language = {eng},
number = {1},
pages = {47-56},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Pfeffer integrability does not imply $M_1$-integrability},
url = {http://eudml.org/doc/31401},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Jarník, Jiří
AU - Kurzweil, Jaroslav
TI - Pfeffer integrability does not imply $M_1$-integrability
JO - Czechoslovak Mathematical Journal
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 1
SP - 47
EP - 56
LA - eng
KW - Pfeffer integral; generalized Riemann integral; divergence theorem; -integral; -dimensional non-absolute integral; differentiable vector fields
UR - http://eudml.org/doc/31401
ER -

References

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  1. Every M 1 -integrable function is Pfeffer integrable, Czechoslovak Math. J. 43(118) (1993) (to appear), 327–330. (ARRAY(0xa2d04f0)) MR1211754
  2. On Mawhin’s approach to multiple nonabsolutely convergent integral, Časopis pěst. mat. 108 (1993), 356–380. (1993) MR0727536
  3. 10.1090/S0002-9947-1986-0833702-0, Trans. American Math. Soc. 295 (1986), 665–685. (1986) Zbl0596.26007MR0833702DOI10.1090/S0002-9947-1986-0833702-0
  4. 10.1007/BF03323075, Resultate Math. 21 (1992), 138–151. (1992) MR1146639DOI10.1007/BF03323075
  5. 10.1007/BF03322308, Resultate Math. 23 (1993), 363–373. (1993) MR1215221DOI10.1007/BF03322308
  6. Equivalent definitions of regular generalized Perron integral, Czechoslovak Math. J. 42 (117) (1992), 365–378. (1992) MR1179506

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