1. CMB 2011 (vol 54 pp. 338)
| SzegÃ¶'s Theorem and Uniform Algebras|
We study SzegÃ¶'s theorem for a uniform algebra. In particular, we do it for the disc algebra or the bidisc algebra.
Keywords:SzegÃ¶'s theorem, uniform algebras, disc algebra, weighted Bergman space
Categories:32A35, 46J15, 60G25
2. CMB 2008 (vol 51 pp. 378)
|Cyclic Vectors in Some Weighted $L^p$ Spaces of Entire Functions |
In this paper, we generalize a result recently obtained by the author. We characterize the cyclic vectors in $\Lp$. Let $f\in\Lp$ and $f\poly$ be contained in the space. We show that $f$ is non-vanishing if and only if $f$ is cyclic.
Keywords:weighted $L^p$ spaces of entire functions, cyclic vectors
Categories:47A16, 46J15, 46H25