Compactness of Fractional Type Integral Operators on Spaces of Homogeneous Type.

For a space (X, d, μ) of homogeneous type and a fractional type integral operator Kα defined on (X, d, μ) we find a necessary and sufficient condition on the exponent q governing the compactness of Kαfrom Lp(X) to Lq(X), where 1 ≤ p, q < ∞ and μ(X) < ∞. [ABSTRACT FROM AUTHOR]