Geodesic
Comments on definitions of general local and global Morrey-type spaces
Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 125-134.

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

It is proved that in one of the popular definitions of general local and global Morrey-type spaces the functional parameter which enters these definitions can be replaced, without essential loss of generality, by another one, which has better regularity properties. 
@article{EMJ_2013_4_1_a8,
     author = {T. V. Tararykova},
     title = {Comments on definitions of general local and global {Morrey-type} spaces},
     journal = {Eurasian mathematical journal},
     pages = {125--134},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2013_4_1_a8/}
}
TY  - JOUR
AU  - T. V. Tararykova
TI  - Comments on definitions of general local and global Morrey-type spaces
JO  - Eurasian mathematical journal
PY  - 2013
SP  - 125
EP  - 134
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EMJ_2013_4_1_a8/
LA  - en
ID  - EMJ_2013_4_1_a8
ER  - 
%0 Journal Article
%A T. V. Tararykova
%T Comments on definitions of general local and global Morrey-type spaces
%J Eurasian mathematical journal
%D 2013
%P 125-134
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EMJ_2013_4_1_a8/
%G en
%F EMJ_2013_4_1_a8
T. V. Tararykova. Comments on definitions of general local and global Morrey-type spaces. Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 125-134. http://geodesic.mathdoc.fr/item/EMJ_2013_4_1_a8/

[1] V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces, I”, Eurasian Mathematical Journal, 3:3 (2012), 11–32 | MR | Zbl

[2] V. I. Burenkov, “Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces, II”, Eurasian Mathematical Journal, 4:1 (2013), 21–45 | Zbl

[3] V. I. Burenkov, D. K. Darbayeva, E. D. Nursultanov, “Description of interpolation spaces for general local Morrey-type spaces”, Eurasian Mathematical Journal, 4:1 (2013), 46–53 | Zbl

[4] V. I. Burenkov, H. V. Guliyev, “Necessary and sufficient conditions for boundedness of the maximal operator in the local Morrey-type spaces”, Studia Mathematica, 163:2 (2004), 157–176 | DOI | MR | Zbl

[5] V. I. Burenkov, P. Jain, T. V. Tararykova, “On boundedness of the Hardy operator in Morrey-type spaces”, Eurasian Mathematical Journal, 2:1 (2011), 52–80 | MR | Zbl

[6] V. I. Burenkov, E. D. Nursultanov, “Description of interpolation spaces for local Morrey-type spaces”, Trudy Math. Inst. Steklov, 269, 2010, 46–56 | DOI | MR | Zbl

[7] V. S. Guliyev, “Generalized weighted Morrey spaces and higher order commutators of sublinear operators”, Eurasian Mathematical Journal, 3:3 (2012), 33–61 | MR | Zbl

[8] H. Gunawan, I. Sihwaningrum, “Fractional integral operators on Lebesgue and Morrey spaces”, Proceedings of the IndoMS International Conference on Mathematics and its Applications (Yogyakarta, Indonesia, 2009)

[9] P. G. Lemarié-Rieusset, “The role of Morrey spaces in the study of Navier–Stokes and Euler equations”, Eurasian Mathematical Journal, 3:3 (2012), 62–93 | MR | Zbl

[10] E. Nakai, “Recent topics on fractional integrals”, Sugaku Expositions, 20:2 (2007), 215–235 | MR | Zbl

[11] M. A. Ragusa, “Operators in Morrey type spaces and applications”, Eurasian Mathematical Journal, 3:3 (2012), 94–109 | MR | Zbl

[12] W. Sickel, “Smoothness spaces related to Morrey spaces — a survey, I”, Eurasian Mathematical Journal, 3:3 (2012), 110–149 | MR | Zbl

[13] W. Sickel, “Smoothness spaces related to Morrey spaces — a survey, II”, Eurasian Mathematical Journal, 4:1 (2013), 82–124 | MR | Zbl