Geodesic
Interpolation of Rational Approximation Spaces Belonging to the Besov Class
Matematičeskie zametki, Tome 77 (2005) no. 6, pp. 877-885

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The Peetre real interpolation method is realized for the Besov class of spaces of analytic functions on the circle. We obtain a description of interpolation norms with the help of difference-differential constructions. We consider rational approximation spaces in the $BMOA$ and $H_p$ norms. 
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     author = {V. L. Kreptogorskii},
     title = {Interpolation of {Rational} {Approximation} {Spaces} {Belonging} to the {Besov} {Class}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {877--885},
     publisher = {mathdoc},
     volume = {77},
     number = {6},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_6_a6/}
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V. L. Kreptogorskii. Interpolation of Rational Approximation Spaces Belonging to the Besov Class. Matematičeskie zametki, Tome 77 (2005) no. 6, pp. 877-885. http://geodesic.mathdoc.fr/item/MZM_2005_77_6_a6/