Interpolation and embeddings of weighted tent spaces Article - 2017

Alex Amenta

Alex Amenta, « Interpolation and embeddings of weighted tent spaces  », Journal of Fourier Analysis and Applications, 2017. ISSN 1069-5869


Given a metric measure space X, we consider a scale of function spaces T^p,q_s(X), called the weighted tent space scale. This is an extension of the tent space scale of Coifman, Meyer, and Stein. Under various geometric assumptions on X we identify some associated interpolation spaces, in particular certain real interpolation spaces. These are identified with a new scale of function spaces, which we call Z-spaces, that have recently appeared in the work of Barton and Mayboroda on elliptic boundary value problems with boundary data in Besov spaces. We also prove Hardy–Littlewood–Sobolev-type embeddings between weighted tent spaces.

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