Compactness and Duality on Poletsky?Stessin Hardy Spaces of Complex Ellipsoids

Authors: SİBEL ŞAHİN

Abstract: In the first part of this study, we characterize the compact subspaces of $H^{p}_{u}(\mathbb{B}^{\textbf{p}})$ and their relation to the vanishing Carleson measures. In the second part, we discuss the dual complement of the complex ellipsoid and give a duality result for $H^{p}_{u}(\mathbb{B}^{\textbf{p}})$ spaces in the sense of Grothendieck?K\"{o}the?da Silva.

Keywords: Duality, dual complement, Poletsky?Stessin Hardy space, compactness, complex ellipsoid

Full Text: PDF