eng Science and Education Publishing American Journal of Mathematical Analysis 2333-8431 2015-02-27 3 1 21 25 10.12691/ajma-3-1-5 AJMA2015315 article ANURADHA GUPTA 1 NEHA BHATIA nehaphd@yahoo.com 2 Department of Mathematics, Delhi College of Arts and Commerce, University of Delhi, Delhi-110023, India Department of Mathematics, University of Delhi, Delhi -110007, India In this paper, study of the composition operators on Lorentz-Karamata-Bochner spaces and characterization of the properties like boundedness, closedness and essential range of these operators on the space has been made. http://pubs.sciepub.com/ajma/3/1/5/ajma-3-1-5.pdf slowly varying function Lorentz-Karamata-Bochner spaces composition operators closed range essential range