Reduction principle for Gaussian $K$-inequality
Functional Analysis
2022-08-04 v1
Abstract
We study interpolation properties of operators (not necessarily linear) which satisfy a specific -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.
Keywords
Cite
@article{arxiv.2109.03059,
title = {Reduction principle for Gaussian $K$-inequality},
author = {Sergi Baena-Miret and Amiran Gogatishvili and Zdeněk Mihula and Luboš Pick},
journal= {arXiv preprint arXiv:2109.03059},
year = {2022}
}
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20 pages