Interpolation and embeddings of weighted tent spaces. (English) Zbl 1391.42026
Let \(X\) be a space of homogeneous type. In this article, the author studies the weighted tent spaces on \(X\). More precisely, under some geometric assumptions on \(X\), the author proves some results for the complex (or real) interpolation space of the weighted tent spaces and the Hardy-Littlewood-Sobolev embeddings between weighted tent spaces on \(X\).
Reviewer: Sibei Yang (Lanzhou)
MSC:
| 42B35 | Function spaces arising in harmonic analysis |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
Keywords:
weighted tent spaces; complex interpolation; real interpolation; Hardy-Littlewood-Sobolev embeddingsReferences:
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