On some bilinear problems on weighted Hardy‐Sobolev spaces

Abstract

In this paper we study the bilinear problem of characterizing the positive Borel measures μ on Sn, satisfying where \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$H_s^2(w)$\end{document} and \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$H_t^2(w)$\end{document} are weighted Hardy‐Sobolev spaces, under adequate conditions on the weight w.