Geodesic
Implementation of the Sparr Interpolation Method in Classes of Spaces of Smooth Functions
Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 581-590

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The multidimensional Sparr interpolation method is implemented in the Besov spaces $B^s_{p,q}$ and the Lizorkin–Triebel spaces $F^s_{p,q}$. It is shown that this results in Besov spaces of type $B^s_{p,q,(q)}$. An interpolation theorem for Besov spaces using weak conditions of the form $T\colon F^s_{p,1,(1)}\to F^{\widetilde s}_{\widetilde p,\infty,(\infty)}$ is formulated. 
@article{MZM_2001_70_4_a9,
     author = {V. L. Kreptogorskii},
     title = {Implementation of the {Sparr} {Interpolation} {Method} in {Classes} of {Spaces} of {Smooth} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {581--590},
     publisher = {mathdoc},
     volume = {70},
     number = {4},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a9/}
}
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V. L. Kreptogorskii. Implementation of the Sparr Interpolation Method in Classes of Spaces of Smooth Functions. Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 581-590. http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a9/