We prove a real interpolation characterization for some non Euclidean Hölder spaces, built on the Lie structure induced by a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander condition. As a by-product we also obtain an approximation property for intrinsically regular functions on the whole space.
Antonello Pesce (2024). Approximation and interpolation in Kolmogorov-type groups. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 535(2), 1-18 [10.1016/j.jmaa.2024.128139].
Approximation and interpolation in Kolmogorov-type groups
Antonello PescePrimo
2024
Abstract
We prove a real interpolation characterization for some non Euclidean Hölder spaces, built on the Lie structure induced by a class of ultra-parabolic Kolmogorov-type operators satisfying the Hörmander condition. As a by-product we also obtain an approximation property for intrinsically regular functions on the whole space.File in questo prodotto:
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