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Holmstedt's formula for the K-functional: the limit case θ0=θ1
- 1.0579223 - MÚ 2024 RIV DE eng J - Journal Article
Ahmed, I. - Fiorenza, A. - Gogatishvili, Amiran
Holmstedt's formula for the K-functional: the limit case θ0=θ1.
Mathematische Nachrichten. Roč. 296, č. 12 (2023), s. 5474-5492. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR(CZ) GA23-04720S
Institutional support: RVO:67985840
Keywords : Holmstedt's formula * K-functional * K-interpolation spaces * slowly varying functions
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Open access
https://doi.org/10.1002/mana.202200440
We consider K-interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt-type formula to be held in the limiting case & theta,0=& theta,1 & ISIN,{0,1}$\theta _0=\theta _1\in \lbrace 0,1\rbrace$. We also study the case & theta,0=& theta,1 & ISIN,(0,1)$\theta _0=\theta _1\in (0,1)$. Applications are given to Lorentz-Karamata spaces, generalized gamma spaces, and Besov spaces.
Permanent Link: https://hdl.handle.net/11104/0348075
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