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A fractional quantized Hall state with filling fraction $\nu = p/(2mp+1)$ canbe modeled as an integer quantized Hall state of transformed fermions,interacting with a Chern-Simons field. The electromagnetic response functionfor these states at arbitrary frequency and wavevector can be calculated usinga semiclassical approximation or the Random Phase Approximation (RPA). However,such calculations do not properly take into account the large effective massrenormalization which is present in the Chern-Simons theory. We show how themass renormalization can be incorporated in a calculation of the responsefunction within a Landau Fermi liquid theory approach such that Kohn's theoremand the $f$-sum rules are properly satisfied. We present results of suchcalculations.Comment: 19 pages (REVTeX 3.0), 5 figures available on request; HU-CMT-93S0

Finite-wave-vector electromagnetic response of fractional quantized Hall states