Reduction principle for Gaussian K-inequality

0559681 - MÚ 2023 RIV US eng J - Journal Article
Baena-Miret, S. - Gogatishvili, Amiran - Mihul, Z. - Pick, L.
Reduction principle for Gaussian K-inequality.
Journal of Mathematical Analysis and Applications. Roč. 516, č. 2 (2022), č. článku 126522. ISSN 0022-247X. E-ISSN 1096-0813
R&D Projects: GA ČR(CZ) GA18-00580S
Institutional support: RVO:67985840
Keywords : K-inequality * reduction principle * Gaussian-Sobolev embeddings
OECD category: Pure mathematics
Impact factor: 1.3, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jmaa.2022.126522

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.
Permanent Link: https://hdl.handle.net/11104/0332886