THE ANALYTICITY OF SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS.
MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS
Pagination or Media Count:
The author studies the analyticity properties of solutions of the equation g Kf where K is a singular integral operator of the Calderon-Zygmund type with g and f in L sub p. Assuming that g and K are locally analytic in a suitable sense and that the symbol of the operator K is locally not equal to 0, any solution of the equation g Kf is shown to be locally analytic. This generalizes the well-known result that solutions of linear analytic elliptic partial differential equations are themselves analytic. Author
- Theoretical Mathematics