RIESZ POTENTIAL
LAMBERT M. SURHONE, MARIAM T. TENNOE, SUSAN F. HENSSONOW
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In mathematics, the Riesz potential is a potential named after its discoverer, the Hungarian mathematician Marcel Riesz.
In a sense, the Riesz potential defines an inverse for a power of the Laplace operator on Euclidean space.
They generalize to several variables the Riemann-Liouville integrals of one variable.
The Riesz potential can therefore be defined whenever is a compactly supported distribution.
In this connection, the Riesz potential of a positive Borel measure with compact support is chiefly of interest in potential theory because I is then a (continuous) subharmonic function off the support of, and is lower semicontinuous on all of Rn.
