Approximation and Interpolation in Kolmogorov-type groups

Published 11 May 2022 in math.AP and math.FA | (2205.05340v2)

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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Authors (1)

Antonello Pesce

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