Abstract
The definition of integrable functions as limits in mean of continuous functions with compact support cannot always be used. This § will show that a function f is in L p if and only if it is not too complicated and, of course, that it satisfies N p (f) > +∞.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Godement, R. (2015). Measurable Sets and Functions. In: Analysis IV. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-16907-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-16907-1_3
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16906-4
Online ISBN: 978-3-319-16907-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)