Geodesic
Boundedness of the generalized Riesz potential in local Morrey type spaces
Eurasian mathematical journal, Tome 12 (2021) no. 4, pp. 92-98 
V. I. Burenkov; M. A. Senouci. Boundedness of the generalized Riesz potential in local Morrey type spaces. Eurasian mathematical journal, Tome 12 (2021) no. 4, pp. 92-98. http://geodesic.mathdoc.fr/item/EMJ_2021_12_4_a7/
@article{EMJ_2021_12_4_a7,
     author = {V. I. Burenkov and M. A. Senouci},
     title = {Boundedness of the generalized {Riesz} potential in local {Morrey} type spaces},
     journal = {Eurasian mathematical journal},
     pages = {92--98},
     year = {2021},
     volume = {12},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2021_12_4_a7/}
}
TY  - JOUR
AU  - V. I. Burenkov
AU  - M. A. Senouci
TI  - Boundedness of the generalized Riesz potential in local Morrey type spaces
JO  - Eurasian mathematical journal
PY  - 2021
SP  - 92
EP  - 98
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/EMJ_2021_12_4_a7/
LA  - en
ID  - EMJ_2021_12_4_a7
ER  - 
%0 Journal Article
%A V. I. Burenkov
%A M. A. Senouci
%T Boundedness of the generalized Riesz potential in local Morrey type spaces
%J Eurasian mathematical journal
%D 2021
%P 92-98
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/EMJ_2021_12_4_a7/
%G en
%F EMJ_2021_12_4_a7

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

We generalize the results obtained in [4] on the boundedness of the Riesz potential from one general local Morrey-type space to another one to the case of the generalized Riesz potential.

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

[2] V. I. Burenkov, H. V. Guliyev, V. S. Guliyev, “Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces”, J. Comput. Appl. Math., 208 (2007), 280–301

[3] 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

[4] V. I. Burenkov, A. Gogatishvili, V. S. Guliyev, R. Ch. Mustafayev, “Boundedness of the Riesz potential in local Morrey-type spaces”, Potential Analysis, 35:1 (2011), 67–87

[5] V. I. Burenkov, V. S. Guliyev, T. V. Tararykova, “Comparison of Morrey spaces and Nikol'skii spaces”, Eurasian Math. J., 12:1 (2021), 9–20

[6] V. I. Burenkov, E. D. Nursultanov, “Interpolation theorems for Urysohn integral operators”, Eurasian Math. J., 11:4 (2020), 88–94

[7] M. Carro, L. Pick, J. Soria, V. D. Stepanov, “On embeddings between classical Lorentz spaces”, Math. Ineq. Appl., 4:3 (2001), 397–428

[8] M. Carro, A. Gogatishvili, J. Martin, L. Pick, “Weighted inequalities involving two Hardy operators with applications to embeddings of function spaces”, J. Oper. Theory, 59:2 (2008), 309–332

[9] M. L. Goldman, Hardy type inequalities on the cone of quasimonotone functions, Computer Center Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, 1998, 1–69