Liming Yang

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20172019

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8 papers · 1 filter

math.FA2019

Approximation in the mean by rational functions II

Liming Yang

For $1 \leq t < \infty$ , a compact subset $K \subset C$ , and a finite positive measure $μ$ supported on $K$ , $R^{t} (K, μ)$ denotes the closure in $L^{t} (μ)$ of rational functions w…

math.FA2019

Reproducing kernel of the space $R^{t} (K, μ)$

Liming Yang

For $1 \leq t < \infty,$ a compact subset $K$ of the complex plane $C,$ and a finite positive measure $μ$ supported on $K,$ $R^{t} (K, μ)$ denotes the closure in $L^{t} (μ)$ of…

math.FA2019

Approximation in the mean by rational functions

John B. Conway, Liming Yang

For $1 \leq t < \infty$ , a compact subset $K \subset C$ , and a finite positive measure $μ$ supported on $K$ , $R^{t} (K, μ)$ denotes the closure in $L^{t} (μ)$ of rational functions w…

math.FA2018

On Nontangential Limits and Shift Invariant Subspaces

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

In 1998, John B. Conway and Liming Yang wrote a paper in which they posed a number of open questions regarding the shift on $P^{t} (μ)$ spaces. A few of these have been completely res…

math.FA2018

Spectral Picture For Rationally Multicyclic Subnormal Operators

Liming Yang

For a pure bounded rationally cyclic subnormal operator $S$ on a separable complex Hilbert space $H,$ J. B. Conway and N. Elias (Analytic bounded point evaluations for spa…

math.FA2017

Boundary values in $R^{t} (K, μ)$ -spaces and invariant subspaces

Liming Yang

For $1 \leq t < \infty,$ a compact subset $K$ of the complex plane $C,$ and a finite positive measure $μ$ supported on $K,$ $R^{t} (K, μ)$ denotes the closure in $L^{t} (μ)$ of…

Approximation in the mean by rational functions II

Reproducing kernel of the space Rt(K,μ)

Approximation in the mean by rational functions

On Nontangential Limits and Shift Invariant Subspaces

Spectral Picture For Rationally Multicyclic Subnormal Operators

Boundary values in Rt(K,μ)-spaces and invariant subspaces

Reproducing kernel of the space $R^{t} (K, μ)$

Boundary values in $R^{t} (K, μ)$ -spaces and invariant subspaces