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 θ₀ = θ₁ ∈ {0,1}. We also study the case θ₀ = θ₁ ∈ (0,1). Applications are given to Lorentz-Karamata spaces, generalized gamma spaces, and Besov spaces.
Holmstedt's formula for the K-functional: the limit case θ₀= θ₁ / Ahmed, Irshaad; Fiorenza, Alberto; Gogatishvili, Amiran. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 296:12(2023), pp. 5474-5492. [10.1002/mana.202200440]
Holmstedt's formula for the K-functional: the limit case θ₀= θ₁
Fiorenza, Alberto;
2023
Abstract
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 θ₀ = θ₁ ∈ {0,1}. We also study the case θ₀ = θ₁ ∈ (0,1). Applications are given to Lorentz-Karamata spaces, generalized gamma spaces, and Besov spaces.File in questo prodotto:
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