Convolution on spaces of locally summable functions
Federica Andreano1and Renato Grande2
Academic Editor: Jürgen Appell
Received01 Jul 2006
Abstract
In this work we prove the existence of convolution on Marcinkiewicz spaces 𝔐p(ℝ), 1≤p<∞, and, using pointwise approximate identities, we extend the classical definition of Hilbert transform to such spaces.