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Search: MSC category 46J15 ( Banach algebras of differentiable or analytic functions, $H^p$-spaces [See also 30H10, 32A35, 32A37, 32A38, 42B30] )

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1. CMB 2011 (vol 54 pp. 338)

Nakazi, Takahiko
 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 spaceCategories:32A35, 46J15, 60G25

2. CMB 2008 (vol 51 pp. 378)

Izuchi, Kou Hei
 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 vectorsCategories:47A16, 46J15, 46H25

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