Fractional Calculus Complex Powers Acoustic Potentials Lp → Lq Estimates L-Characteristic Symbol Range 47B38 31B10 42B20 42B15
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 155p-172p
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.