A discrete version of local Morrey spaces
Izvestiya. Mathematics , Tome 81 (2017) no. 1, pp. 1-28
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We describe a new class of spaces which contains the classical Morrey spaces.
Using a new approach, we prove definitive versions of duality and interpolation
theorems for these spaces. The results obtained here are also of interest for the
classical Morrey spaces.
Keywords:
general discrete Morrey spaces, dual spaces of Morrey spaces, interpolation of Morrey spaces.
@article{IM2_2017_81_1_a0,
author = {E. I. Berezhnoi},
title = {A discrete version of local {Morrey} spaces},
journal = {Izvestiya. Mathematics },
pages = {1--28},
publisher = {mathdoc},
volume = {81},
number = {1},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2017_81_1_a0/}
}
E. I. Berezhnoi. A discrete version of local Morrey spaces. Izvestiya. Mathematics , Tome 81 (2017) no. 1, pp. 1-28. http://geodesic.mathdoc.fr/item/IM2_2017_81_1_a0/