Abstract
On the Cartesian product of two measure spaces one can construct a measure—hence, an integral—which is directly connected with the measure on each factor. Then, the natural problem that arises is how to reduce a double (or multiple) integral to the computation of two (or more) simple integrals. Such a question plays a crucial role in Lebesgue integration.
Keywords
Smooth Function Measure Space Product Measure Multiple Integration Natural Problem
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
- [Fo99]Folland, G.B.: Real Analysis. Wiley, New York (1999)Google Scholar
- [Ru73]Rudin, W.: Functional Analysis. McGraw Hill, New York (1973)Google Scholar
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© Springer International Publishing Switzerland 2015