Differentiability properties of the symbol of a generalized Riesz potential with homogeneous characteristic
01 Pubblicazione su rivista
LANZARA Flavia, Maz'ya Vladimir
ISSN: 1072-3374
Let (f) be a positive homogeneous function of degree (0) defined on the sphere (Sigma) of the space (R^n) and let (Phi_alpha) be the symbol of the integral operator
[
int_{R^n}rac{f((x-y)/|x-y|)}{|x-y|^{n-alpha}} u(y) dy,
quad uin C^infty_0(R^n)
]
with (0