E. Villamor

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math.CV2005

A generalization of Riesz's uniqueness theorem

Enrique Villamor

There have been, over the last 8 years, a number of far reaching extensions of the famous original F. and M. Riesz's uniqueness theorem that states that if a bounded analytic funct…

math.CV2005

Discreteness and openness for mappings of finite distortion in the critical case $p = n - 1$

Enrique Villamor

Let $F \in W_{l oc}^{1, n} (Ω; R^{n})$ be a mapping with non-negative Jacobian $J_{F} (x) = det D F (x) \geq 0$ a.e. in a domain $Ω \in R^{n}$ . The dilatation of the mapping $F$ is d…

math.CV2005

Boundary limits for bounded quasiregular mappings

Bao Qin Li, Enrique Villamor

In this paper we establish results on the existence of nontangential limits for weighted $\Cal A$-harmonic functions in the weighted Sobolev space $W_{w}^{1, q} (B^{n})$ , for some $…

A generalization of Riesz's uniqueness theorem

Discreteness and openness for mappings of finite distortion in the critical case p=n−1

Boundary limits for bounded quasiregular mappings

Discreteness and openness for mappings of finite distortion in the critical case $p = n - 1$