IJPAM: Volume 66, No. 4 (2011)

CAUSAL RIESZ POTENTIAL AND
CAUSAL POISSON OPERATORS

Rubén Alejandro Cerutti
Faculty of Exact Sciences
National University of Nordeste
Avda. Libertad 5540, Corrientes, 3400, ARGENTINA
e-mail: rcerutti@exa.unne.edu.ar


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

Received: June 18, 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: 2011
Volume: 66
Issue: 4