Quasicontinuous functions and the topology of uniform convergence on compacta

Let X be a Hausdorff topological space, Q(X,R) the space of all quasicontinuous functions on with values in R and ?UC topology uniform convergence compacta. If is hemicompact, then (Q(X,R), ?UC) metrizable thus many cardinal invariants, including weight, density cellularity coincide ?UC). We find further conditions under which these invariants as well characterizations some It known that weight continuous (C(R,R), ?0. will show (Q(R,R), 2c.