Approximation and interpolation in Kolmogorov-type groups

• DOI: 10.1016/j.jmaa.2024.128139
• Publication Date: 2024-01-19T16:54:38Z
• Authors: Antonello Pesce
• Keywords: Interpolation; Characterization

We prove a real interpolation characterization for some non Euclidean Hölder spaces, built on the Lie structure induced by class of ultra-parabolic Kolmogorov-type operators satisfying Hörmander condition. As by-product we also obtain an approximation property intrinsically regular functions whole space.