- Turkish Journal of Mathematics
- Vol: 42 Issue: 5
- Compactness and Duality on Poletsky?Stessin Hardy Spaces of Complex Ellipsoids
Compactness and Duality on Poletsky?Stessin Hardy Spaces of Complex Ellipsoids
Authors : Sibel Şahin
Pages : 2157-2165
View : 7 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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