A Note on Multiplication Operators between Lorentz-Karamata Spaces
Gopal Datt
Department of Mathematics, PGDAV College, University of Delhi, Delhi 110065, India.
Renu Chugh
Department of Mathematics, MD University, Rohtak 124001, Haryana, India.
Jagjeet Jakhar *
Department of Mathematics, MD University, Rohtak 124001, Haryana, India.
*Author to whom correspondence should be addressed.
Abstract
Multiplication operators between some spaces isomorphic to Lorentz-Karamata spaces are discussed. We also describe the multiplication operators on Lorentz-Karamata spaces which are compact and Fredholm.
Keywords: Lorentz-Karamata space, multiplication operators, compact operator, distribution function, slowly varying function.