GEORGIAN MATHEMATICAL JOURNAL, cilt.27, sa.4, ss.557-567, 2020 (SCI-Expanded)
In this paper, the necessary and sufficient conditions are found for the boundedness of the Riesz potential I-alpha in the local Morrey- Lorentz spaces M-p,q(loc);lambda (R-n). This result is applied to the boundedness of particular operators such as the fractional maximal operator, fractional Marcinkiewicz operator and fractional powers of some analytic semigroups on the local Morrey-Lorentz spaces M-p,q(loc);lambda (R-n).