Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator
Fractional calculus and applied analysis, Tome 9 (2006) no. 1, pp. 17-32.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials.
Keywords: Bn - Maximal Operator, Bn - Riesz Potential, Bn - Morrey Spaces, Sobolev-Morrey Type Estimates, 42B20, 42B25, 42B35
@article{FCAA_2006_9_1_a1,
     author = {Guliyev, Vagif and Hasanov, Javanshir},
     title = {Sobolev-Morrey {Type} {Inequality} for {Riesz} {Potentials,} {Associated} with the {Laplace-Bessel} {Differential} {Operator}},
     journal = {Fractional calculus and applied analysis},
     pages = {17--32},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2006_9_1_a1/}
}
TY  - JOUR
AU  - Guliyev, Vagif
AU  - Hasanov, Javanshir
TI  - Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator
JO  - Fractional calculus and applied analysis
PY  - 2006
SP  - 17
EP  - 32
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2006_9_1_a1/
LA  - en
ID  - FCAA_2006_9_1_a1
ER  - 
%0 Journal Article
%A Guliyev, Vagif
%A Hasanov, Javanshir
%T Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator
%J Fractional calculus and applied analysis
%D 2006
%P 17-32
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2006_9_1_a1/
%G en
%F FCAA_2006_9_1_a1
Guliyev, Vagif; Hasanov, Javanshir. Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator. Fractional calculus and applied analysis, Tome 9 (2006) no. 1, pp. 17-32. http://geodesic.mathdoc.fr/item/FCAA_2006_9_1_a1/