Abstract
This chapter is devoted to the study of the Lebesgue spaces, also known as the Lp-spaces, where 1 ≤ p ≤ ∞. It is shown that these are Banach spaces and their duals are identified. Important properties of the convolution product are studied.
This is a preview of subscription content, log in via an institution to check access.
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
Corresponding author
Rights and permissions
Copyright information
© 2019 Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Kesavan, S. (2019). Lp-spaces. In: Measure and Integration. Texts and Readings in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-6678-9_10
Download citation
DOI: https://doi.org/10.1007/978-981-13-6678-9_10
Publisher Name: Springer, Singapore
Online ISBN: 978-981-13-6678-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)