# On slow decay of Peetre's K-functional

## TL;DR

This paper investigates the conditions under which Peetre's K-functional decays slowly, providing a characterization that reveals strict inclusions between certain real interpolation spaces.

## Contribution

It offers a new characterization of slow decay of Peetre's K-functional and applies it to establish strict inclusions between real interpolation spaces.

## Key findings

- Characterization of slow decay of Peetre's K-functional
- Demonstration of strict inclusions between real interpolation spaces
- Insights into the structure of interpolation spaces

## Abstract

We characterize when Peetre's K-functional decays to zero slowly and we use this characterization to demonstrate certain strict inclusions between real interpolation spaces.