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math.FA2020
New Brezis-Van Schaftingen-Yung Sobolev type inequalities connected with maximal inequalities and one parameter families of operators
Oscar Dominguez, Mario Milman
Motivated by the recent characterization of Sobolev spaces due to Brezis-Van Schaftingen-Yung we prove new weak-type inequalities for one parameter families of operators connected…
math.FA2019
Extensions of the vector-valued Hausdorff-Young inequalities
Oscar Dominguez, Mark Veraar
In this paper we study the vector-valued analogues of several inequalities for the Fourier transform. In particular, we consider the inequalities of Hausdorff--Young, Hardy--Little…