Local inequalities for plurisubharmonic functions.
Lp continuity of projectors of weighted harmonic Bergman spaces.
LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators
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.