A Marcinkiewicz integral type characterization of the Sobolev space
A Marcinkiewicz integral type characterization of the Sobolev space
In this paper we present a new characterization of the Sobolev space W 1,p , 1 < p < ∞ which is a higher dimensional version of a result of Waterman [32].We also provide a new and simplified proof of a recent result of Alabern, Mateu, and Verdera [2].Finally, we …