Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47885220190701Slant Toeplitz Operators on the Lebesgue Space of the Torus65768613310.22034/kjm.2019.86133ENGopal DattDepartment of Mathematics, PGDAV College, University of Delhi, Delhi-110065 (INDIA).Neelima OhriDepartment of Mathematics, University of Delhi, Delhi - 110007 (INDIA).Journal Article20180812This paper introduces the class of slant Toeplitz operators on the Lebesgue space of the torus. A characterization of these operators as the solutions of an operator equation is obtained. The paper describes various algebraic properties of these operators. The compactness, commutativity and essential commutativity of these operators are also discussed.http://www.kjm-math.org/article_86133_d0ddc2ce6b15b61ebf8dd33d6d518696.pdf