LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators

Karapetyants, Alexey, Karasev, Denis, and Nogin, Vladimir. "LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators." Fractional Calculus and Applied Analysis 8.2 (2005): 155-172. <http://eudml.org/doc/11285>.

@article{Karapetyants2005,
abstract = {Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.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.* This paper has been supported by Russian Fond of Fundamental Investigations under Grant No. 40–01–008632 a.},
author = {Karapetyants, Alexey, Karasev, Denis, Nogin, Vladimir},
journal = {Fractional Calculus and Applied Analysis},
keywords = {47B38; 31B10; 42B20; 42B15},
language = {eng},
number = {2},
pages = {155-172},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators},
url = {http://eudml.org/doc/11285},
volume = {8},
year = {2005},
}

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
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 8
IS - 2
SP - 155
EP - 172
AB - Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.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.* This paper has been supported by Russian Fond of Fundamental Investigations under Grant No. 40–01–008632 a.
LA - eng
KW - 47B38; 31B10; 42B20; 42B15
UR - http://eudml.org/doc/11285
ER -