Geodesic
LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators
Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 155-172.

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

We obtain the Lp → Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications of these estimates are also given.
Keywords: Fractional Calculus, Complex Powers, Acoustic Potentials, Lp → Lq Estimates, L-Characteristic, Symbol, Range, 47B38, 31B10, 42B20, 42B15 
@article{FCAA_2005_8_2_a4,
     author = {Karapetyants, Alexey and Karasev, Denis and Nogin, Vladimir},
     title = {LP {\textrightarrow} {LQ} - {Estimates} for the {Fractional} {Acoustic} {Potentials} and some {Related} {Operators}},
     journal = {Fractional calculus and applied analysis},
     pages = {155--172},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a4/}
}
TY  - JOUR
AU  - Karapetyants, Alexey
AU  - Karasev, Denis
AU  - Nogin, Vladimir
TI  - LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators
JO  - Fractional calculus and applied analysis
PY  - 2005
SP  - 155
EP  - 172
VL  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a4/
LA  - en
ID  - FCAA_2005_8_2_a4
ER  - 
%0 Journal Article
%A Karapetyants, Alexey
%A Karasev, Denis
%A Nogin, Vladimir
%T LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators
%J Fractional calculus and applied analysis
%D 2005
%P 155-172
%V 8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a4/
%G en
%F FCAA_2005_8_2_a4
Karapetyants, Alexey; Karasev, Denis; Nogin, Vladimir. LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators. Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 155-172. http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a4/