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Displaying similar documents to “Boundary regularity of admissible operators.”

Smooth potentials with prescribed boundary behaviour.

Stephen J. Gardiner, Anders Gustafsson (2004)

Publicacions Matemàtiques

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This paper examines when it is possible to find a smooth potential on a C1 domain D with prescribed normal derivatives at the boundary. It is shown that this is always possible when D is a Liapunov-Dini domain, and this restriction on D is essential. An application concerning C1 superharmonic extension is given.

q-plurisubharmonicity and q-pseudoconvexity in C.

Nguyen Quang Dieu (2006)

Publicacions Matemàtiques

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We generalize classical results for plurisubharmonic functions and hyperconvex domain to q-plurisubharmonic functions and q-hyperconvex domains. We show, among other things, that B-regular domains are q-hyperconvex. Moreover, some smoothing results for q-plurisubharmonic functions are also given.

A Schwarz lemma for correspondences and applications.

Kaushal Verma (2003)

Publicacions Matemàtiques

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A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.