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

Authors : SİBEL ŞAHİN

Pages : 2157-2165

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In the first part of this study, we characterize the compact subspaces of $H^{p}_{u}insert ignore into journalissuearticles values(\mathbb{B}^{\textbf{p}});$ 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 $H^{p}_{u}insert ignore into journalissuearticles values(\mathbb{B}^{\textbf{p}});$ spaces in the sense of Grothendieck?K\`{o}the?da Silva.
Keywords : Duality, dual complement, Poletsky Stessin Hardy space, compactness, complex ellipsoid