Approximation and Interpolation in Kolmogorov-type groups
Analysis of PDEs
2024-01-18 v2 Functional Analysis
Abstract
We prove a real interpolation characterization for some non Euclidean H\"older spaces, built on the Lie structure induced by a class of ultra-parabolic Kolmogorov-type operators satisfying the H\"ormander condition. As a by-product we also obtain an approximation property for intrinsically regular functions on the whole space.
Cite
@article{arxiv.2205.05340,
title = {Approximation and Interpolation in Kolmogorov-type groups},
author = {Antonello Pesce},
journal= {arXiv preprint arXiv:2205.05340},
year = {2024}
}