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Meromorphic Extendibility and Rigidity of Interpolation
Meromorphic Extendibility Rigidity of Interpolation
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...
Propagation of CR extendibility at the vertex of a complex sector
CR extendibility complex sector
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 $...
Notes on factor-criticality, extendibility and independence number
Notes on factor-criticality independence number
2010/11/19
In this paper, we give a sufficient and necessary condition for a $k$-extendable graph to be $2k$-factor-critical when $k=\nu/4$, and prove some results on independence numbers in $n$-factor-critical ...
Equivalence between Extendibility and Factor-Criticality
Extendibility Factor-Criticality
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 $k\geq (\nu-3)/4$...