Meromorphic Extendibility and Rigidity of Interpolation     Meromorphic Extendibility  Rigidity of Interpolation       font style='font-size:12px;'> 2010/11/24

Let T be the unit circle, f be an \alpha-Holder continuous function on T, \alpha>1/2, and A be the algebra of continuous function in the closed unit disk \bar D that are holomorphic in D. Then f exte...

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Propagation of CR extendibility at the vertex of a complex sector     CR extendibility  complex sector       font style='font-size:12px;'> 2010/11/23

We study propagation of CR extendibility at the vertex $p$ of an analytic sector $A$ contained in a CR manifold $M$. Let $k$ be the weighted vanishing order of $M$ and $\alpha $ the complex angle of $...

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Equivalence between Extendibility and Factor-Criticality     Extendibility  Factor-Criticality       font style='font-size:12px;'> 2010/11/19

In this paper, we show that if $k\geq (\nu+2)/4$, where $\nu$ denotes the order of a graph, a non-bipartite graph $G$ is $k$-extendable if and only if it is $2k$-factor-critical. If $k\geq (\nu-3)/4$...

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