A Hake-type property for the ν 1 -integral and its relation to other integration processes

Wolfgang B. Jurkat; D. J. F. Nonnenmacher

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 3, page 465-472
  • ISSN: 0011-4642

How to cite

top

Jurkat, Wolfgang B., and Nonnenmacher, D. J. F.. "A Hake-type property for the $\nu _1$-integral and its relation to other integration processes." Czechoslovak Mathematical Journal 45.3 (1995): 465-472. <http://eudml.org/doc/31480>.

@article{Jurkat1995,
author = {Jurkat, Wolfgang B., Nonnenmacher, D. J. F.},
journal = {Czechoslovak Mathematical Journal},
keywords = {gauge integrals; Hake's property; non-absolutely convergent integrals; -integral},
language = {eng},
number = {3},
pages = {465-472},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A Hake-type property for the $\nu _1$-integral and its relation to other integration processes},
url = {http://eudml.org/doc/31480},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Jurkat, Wolfgang B.
AU - Nonnenmacher, D. J. F.
TI - A Hake-type property for the $\nu _1$-integral and its relation to other integration processes
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 3
SP - 465
EP - 472
LA - eng
KW - gauge integrals; Hake's property; non-absolutely convergent integrals; -integral
UR - http://eudml.org/doc/31480
ER -

References

top
  1. Geometric Measure Theory, Springer, New York, 1969. (1969) Zbl0176.00801MR0257325
  2. A non-absolutely convergent integral which admits transformation and can be used for integration on manifolds, Czech. Math. J. 35 (110) (1985), 116–139. (1985) MR0779340
  3. On Mawhin’s approach to multiple nonabsolutely convergent integral, Casopis Pest. Mat. 108 (1983), 356–380. (1983) MR0727536
  4. 10.4064/fm-145-3-221-242, Fund. Math. 145 (1994), 221–242. (1994) MR1297406DOI10.4064/fm-145-3-221-242
  5. A generalized n -dimensional Riemann integral and the Divergence Theorem with singularities, Acta Sci. Math. (Szeged) 59 (1994), 241–256. (1994) MR1285443
  6. The Fundamental Theorem for the ν 1 -integral on more general sets and a corresponding Divergence Theorem with singularities, (to appear). (to appear) MR1314531
  7. 10.1007/BF03323075, Results in Mathematics 21 (1992), 138–151. (1992) MR1146639DOI10.1007/BF03323075
  8. Every M 1 -integrable function is Pfeffer integrable, Czech. Math. J. 43 (118) (1993), 327–330. (1993) MR1211754
  9. 10.1016/0001-8708(91)90063-D, Adv. in Math. 87 (1991), no. 1, 93–147. (1991) Zbl0732.26013MR1102966DOI10.1016/0001-8708(91)90063-D
  10. Theory of the integral, Dover, New York, 1964. (1964) MR0167578

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.