LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators
| Data(s) |
27/08/2010
27/08/2010
2005
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| Resumo |
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. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 155p-172p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Fractional Calculus #Complex Powers #Acoustic Potentials #Lp → Lq Estimates #L-Characteristic #Symbol #Range #47B38 #31B10 #42B20 #42B15 |
| Tipo |
Article |
