Lecture

Interpolation Spaces

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In course

MATH-502: Distribution and interpolation spaces

The goal of this course is to give an introduction to the theory of distributions and cover the fundamental results of Sobolev spaces including fractional spaces that appear in the interpolation theory. Those notions are central to the study of partial dif ...

Description

This lecture covers the concept of interpolation spaces in Banach spaces, focusing on the interpolation couple of two real (complex) Banach spaces. It explains the conditions for a vector subspace of V to be an interpolation couple, along with the max and inf operations. The lecture also discusses the properties of interpolation spaces between X and Y, emphasizing the K-method and real continuous interpolation spaces. Various examples and mathematical operations are presented to illustrate the theory.

Official source

Ontological neighbourhood

Mathematics

Analysis: Functional analysis

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