Upper integral and its geometric meaning
Mathematica Slovaca (2007)
- Volume: 57, Issue: 6, page [523]-546
- ISSN: 0232-0525
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topBukac, Josef. "Upper integral and its geometric meaning." Mathematica Slovaca 57.6 (2007): [523]-546. <http://eudml.org/doc/34668>.
@article{Bukac2007,
author = {Bukac, Josef},
journal = {Mathematica Slovaca},
keywords = {Hahn integral; nonmeasurable; outer measure; product space; seminorm; Minkowski inequality; completeness; convergence in outer measure; class of sets with complete metric},
language = {eng},
number = {6},
pages = {[523]-546},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Upper integral and its geometric meaning},
url = {http://eudml.org/doc/34668},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Bukac, Josef
TI - Upper integral and its geometric meaning
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 6
SP - [523]
EP - 546
LA - eng
KW - Hahn integral; nonmeasurable; outer measure; product space; seminorm; Minkowski inequality; completeness; convergence in outer measure; class of sets with complete metric
UR - http://eudml.org/doc/34668
ER -
References
top- FAN S. C., Integration with respect to an upper-measure function, Amer. J. Math. 63 (1941), 319-337. (1941) Zbl0025.03401MR0003703
- HAHN H.-ROSENTHAL A., Set Functions, University of New Mexico Press, Albuquerque, 1948. (1948) Zbl0033.05301MR0024504
- ROYDEN H. L., Real Analysis, (3rd ed.), Macmillan Publishing Company, New York, 1988. (1988) Zbl0704.26006MR1013117
- TAYLOR A. E., General Theory of Functions and Integration, Dover Publications Inc., New York, 1985. (1985) MR0824243
- WARD A. J., The Fan integrals interpreted as measures in a product-space, Amer. J. Math. 66 (1944), 144-160. (1944) MR0009621
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