Geodesic
On interpolation of pairs of generalized spaces of Besov type
Eurasian mathematical journal, Tome 1 (2010) no. 4, pp. 32-77

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We investigate generalized spaces of Besov type defined with the help of certain positive infinitely differentiable functions of polynomial growth and describe the $K$-functionals for pairs of $H$-spaces and for the pairs of $B$-spaces. We prove interpolation theorems for spaces with different anisotropy. Spaces of functions of mixed smoothness are characterized as “B-products” and interpolation theorems for these spaces are proved. Moreover, we establish embedding and trace theorems. 
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     author = {A. G. Baghdasaryan},
     title = {On interpolation of pairs of generalized spaces of {Besov} type},
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A. G. Baghdasaryan. On interpolation of pairs of generalized spaces of Besov type. Eurasian mathematical journal, Tome 1 (2010) no. 4, pp. 32-77. http://geodesic.mathdoc.fr/item/EMJ_2010_1_4_a2/