Pointwise Ltp-functions on locally compact groups

Abstract

Let G be a locally compact group and 1 ≤ p < ∞. This paper is mainly concerned with introducing the concept of pointwise Lt p functions and studying the structure of the space L tpp (G), consisting of all these functions. Furthermore, some algebraic and topological properties of Ltpp (G) as a Banach algebra under pointwise multiplication are investigated.