L p Spaces

In this chapter we introduce the Lebesgue spaces of p-integrable functions and study their basic properties. In considering the various results discussed here, the reader should keep in mind the three basic examples: The L^p spaces of Lebesgue measurable functions on the line, or Rⁿ , the L^p spaces of Lebesgue measurable functions on a bounded interval, and the sequence ℓ p https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429493171/9079e7c9-7148-4906-b678-3cc83c445932/content/eq2146.tif"/> spaces.