Geodesic
On the Geometric Mean Operator with Variable Limits of Integration
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 264-288

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

A new criterion for the weighted $L_p$–$L_q$ boundedness of the Hardy operator with two variable limits of integration is obtained for $0$. This criterion is applied to the characterization of the weighted $L_p$–$L_q$ boundedness of the corresponding geometric mean operator for $0$. 
@article{TM_2008_260_a17,
     author = {V. D. Stepanov and E. P. Ushakova},
     title = {On the {Geometric} {Mean} {Operator} with {Variable} {Limits} of {Integration}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {264--288},
     publisher = {mathdoc},
     volume = {260},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2008_260_a17/}
}
TY  - JOUR
AU  - V. D. Stepanov
AU  - E. P. Ushakova
TI  - On the Geometric Mean Operator with Variable Limits of Integration
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2008
SP  - 264
EP  - 288
VL  - 260
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2008_260_a17/
LA  - ru
ID  - TM_2008_260_a17
ER  - 
%0 Journal Article
%A V. D. Stepanov
%A E. P. Ushakova
%T On the Geometric Mean Operator with Variable Limits of Integration
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2008
%P 264-288
%V 260
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2008_260_a17/
%G ru
%F TM_2008_260_a17
V. D. Stepanov; E. P. Ushakova. On the Geometric Mean Operator with Variable Limits of Integration. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 264-288. http://geodesic.mathdoc.fr/item/TM_2008_260_a17/