Geodesic
The Space of Weighted Bessel Potentials
Informatics and Automation, Differential equations and dynamical systems, Tome 250 (2005), pp. 192-197

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

A fractional weighted integro-differentiation operator is considered. The kernel of this operator is determined by applying the Fourier–Bessel integral transform. The space of weighted Bessel potentials is described on the basis of the Stein–Lizorkin approach; the description uses B-hypersingular integrals and weighted Riesz potentials that were introduced earlier by one of the authors. 
@article{TRSPY_2005_250_a8,
     author = {L. N. Lyakhov and M. V. Polovinkina},
     title = {The {Space} of {Weighted} {Bessel} {Potentials}},
     journal = {Informatics and Automation},
     pages = {192--197},
     publisher = {mathdoc},
     volume = {250},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a8/}
}
TY  - JOUR
AU  - L. N. Lyakhov
AU  - M. V. Polovinkina
TI  - The Space of Weighted Bessel Potentials
JO  - Informatics and Automation
PY  - 2005
SP  - 192
EP  - 197
VL  - 250
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a8/
LA  - ru
ID  - TRSPY_2005_250_a8
ER  - 
%0 Journal Article
%A L. N. Lyakhov
%A M. V. Polovinkina
%T The Space of Weighted Bessel Potentials
%J Informatics and Automation
%D 2005
%P 192-197
%V 250
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a8/
%G ru
%F TRSPY_2005_250_a8
L. N. Lyakhov; M. V. Polovinkina. The Space of Weighted Bessel Potentials. Informatics and Automation, Differential equations and dynamical systems, Tome 250 (2005), pp. 192-197. http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a8/