Interpolation properties of scales of Banach spaces
Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 803-813
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It is shown that any interpolation scales joining weight spaces $L_p$ or similar spaces have many remarkable properties. Not only are such scales intrinsically interpolation scales, but an analog of the Arazy–Cwikel theorem describing interpolation spaces between the spaces from the scale is valid.
@article{MZM_2006_80_6_a0,
author = {Yu. N. Bykov and V. I. Ovchinnikov},
title = {Interpolation properties of scales of {Banach} spaces},
journal = {Matemati\v{c}eskie zametki},
pages = {803--813},
publisher = {mathdoc},
volume = {80},
number = {6},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a0/}
}
Yu. N. Bykov; V. I. Ovchinnikov. Interpolation properties of scales of Banach spaces. Matematičeskie zametki, Tome 80 (2006) no. 6, pp. 803-813. http://geodesic.mathdoc.fr/item/MZM_2006_80_6_a0/