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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.
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