In this article a theory of fractional powers of a singular hyperbolic operator on arbitrary spaces is discussed. Fourier– Hankel transform, semigroup property, boundedness in proper functional spaces and other properties of the mixed Riesz fractional integral generated by Bessel operator are obtained.
Digital Object Identifier (DOI)
L. Shishkina, Elina
"Properties of Mixed Hyperbolic B–Potential,"
Progress in Fractional Differentiation & Applications: Vol. 4
, Article 3.
Available at: https://dc.naturalspublishing.com/pfda/vol4/iss2/3