Výsledky vyhledávání - "Conway, A. B."

Report

Mean Rational Approximation for Compact Subsets with Thin Boundaries

In 1991, J. Thomson obtained a celebrated decomposition theorem for $P^t(\mu),$ the closed subspace of $L^t(\mu)$ spanned by the analytic polynomials, when $1 \le t < \i.$ In 2008, J. Brennan \cite{b08} generalized Thomson's theorem to $R^t(K, \mu),$

Externí odkaz: http://arxiv.org/abs/2212.10811

Zobrazit plný text záznamu

Report

Mean Rational Approximation for Some Compact Planar Subsets

Autor: Conway, John B., Yang, Liming

In 1991, J. Thomson obtained celebrated structural results for $P^t(\mu).$ Later, J. Brennan (2008) generalized Thomson's theorem to $R^t(K,\mu)$ when the diameters of the components of $\mathbb C\setminus K$ are bounded below. The results indicate t

Externí odkaz: http://arxiv.org/abs/2212.05392

Zobrazit plný text záznamu

Report

Approximation in the mean by rational functions

Autor: Conway, John B., Yang, Liming

For $1\le t < \infty$, a compact subset $K\subset\mathbb C$, and a finite positive measure $\mu$ supported on $K$, $R^t(K, \mu)$ denotes the closure in $L^t(\mu)$ of rational functions with poles off $K$. Let $\text{abpe}(R^t(K, \mu))$ denote the set

Externí odkaz: http://arxiv.org/abs/1904.06446

Zobrazit plný text záznamu

Report

On Nontangential Limits and Shift Invariant Subspaces

Autor: Akeroyd, John R., Conway, John B., Yang, Liming

Publikováno v: Integral Equations Operator Theory 91 (2019), no. 1, Art. 2, 18 pp

In 1998, John B. Conway and Liming Yang wrote a paper in which they posed a number of open questions regarding the shift on $P^t(\mu)$ spaces. A few of these have been completely resolved, while at least one remains wide open. In this paper, we revie

Externí odkaz: http://arxiv.org/abs/1809.10182

Zobrazit plný text záznamu