Geodesic
Description of interpolation spaces for local Morrey-type spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 52-62

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the real interpolation method and prove that for local Morrey spaces, in the case when they have the same integrability parameter, the interpolation spaces are again local Morrey-type spaces with appropriately chosen parameters. Thus, in contrast to the standard Morrey-type spaces, these local spaces form an interpolation scale. In particular, this is true in the so-called nondiagonal case. 
@article{TM_2010_269_a3,
     author = {V. I. Burenkov and E. D. Nursultanov},
     title = {Description of interpolation spaces for local {Morrey-type} spaces},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {52--62},
     publisher = {mathdoc},
     volume = {269},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_269_a3/}
}
TY  - JOUR
AU  - V. I. Burenkov
AU  - E. D. Nursultanov
TI  - Description of interpolation spaces for local Morrey-type spaces
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2010
SP  - 52
EP  - 62
VL  - 269
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2010_269_a3/
LA  - ru
ID  - TM_2010_269_a3
ER  - 
%0 Journal Article
%A V. I. Burenkov
%A E. D. Nursultanov
%T Description of interpolation spaces for local Morrey-type spaces
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2010
%P 52-62
%V 269
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2010_269_a3/
%G ru
%F TM_2010_269_a3
V. I. Burenkov; E. D. Nursultanov. Description of interpolation spaces for local Morrey-type spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and differential equations, Tome 269 (2010), pp. 52-62. http://geodesic.mathdoc.fr/item/TM_2010_269_a3/