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arXiv · 2205.05340

Approximation and Interpolation in Kolmogorov-type groups

Antonello Pesce
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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.

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Antonello Pesce. 2022-05-11. Approximation and Interpolation in Kolmogorov-type groups. https://arxiv.org/abs/2205.05340

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