Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1711-101
Keywords
Duality, dual complement, Poletsky?Stessin Hardy space, compactness, complex ellipsoid
First Page
2157
Last Page
2165
Recommended Citation
ŞAHİN, S (2018). Compactness and Duality on Poletsky?Stessin Hardy Spaces of Complex Ellipsoids. Turkish Journal of Mathematics 42 (5): 2157-2165. https://doi.org/10.3906/mat-1711-101