IJPAM: Volume 63, No. 1 (2010)

CAUSAL RIESZ POTENTIAL AND
CAUSAL POISSON OPERATORS

Rubén Alejandro Cerutti
Faculty of Exact Sciences
National University of Nordeste
5540, Avda. Libertad, Corrientes, 3400, ARGENTINA
e-mail: [email protected]


Abstract.Relationship between Riesz potentials and the Poisson kernel in the radial case has been studied by Samko (cf. [9]) and Rudin (cf. [8]) among others authors. The last author give a theorem that establish that the Riesz potential can be expressed as an unidimensional integral whose integrand is a Poisson's integral. In this paper analogue relations between ultrahyperbolic causal Riesz potential and causal Poisson's integral is obtained.

Received: April 6, 2010

AMS Subject Classification: 46F10

Key Words and Phrases: causal Riesz potential, causal Poisson integrals

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 1