Reduction principle for Gaussian K-inequality

Abstract

We study interpolation properties of operators (not necessarily linear) which satisfy a specific K-inequality corresponding to endpoints defined in terms of Orlicz-Karamata spaces modeled upon the example of the Gaussian-Sobolev embedding. We prove a reduction principle for a fairly wide class of such operators. (c) 2022 Elsevier Inc.

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Keywords

• K-inequality
• Reduction principle
• Gaussian-Sobolev embeddings