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RESEARCH PRODUCT

L p-Spaces and the Radon–Nikodym Theorem

Achim Klenke

subject

Radon–Nikodym theoremSection (fiber bundle)symbols.namesakePure mathematicsIntegrable systemMinkowski spaceHilbert spacesymbolsMathematicsNormed vector space

description

In this chapter, we study the spaces of functions whose pth power is integrable. In Section 7.2, we first derive some of the important inequalities (Holder, Minkowski, Jensen) and then in Section 7.3 investigate the case p=2 in more detail.

https://doi.org/10.1007/978-3-030-56402-5_7