On balanced L²-domains of holomorphy

Normed Domains of Holomorphy

In this paper a domain Ω ⊆ C is a connected open set. We let O Ω denote the algebra of holomorphic functions on Ω. We will use the following notation: D denotes the unit disc in the complex plane. We let D2 D × D denote the bidisc, and D D × D × · · · × D the polydisc in C. The symbol B Bn is the unit ball in C. A domainΩ ⊆ C is said to be Runge if any holomorphic f onΩ is the limit, uniformly ...

effect of oral presentation on development of l2 learners grammar

this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...

Domains of Holomorphy with Edges and Lower Dimensional Boundary Singularities

Necessary and sufficient geometric conditions are given for domains with regular boundary points and edges to be domains of holomorphy provided the remainder boundary subset is of zero Hausdorff 1-codimensional measure.

On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle

The Envelope of Holomorphy of Riemann Domains over a Countable Product of Complex Planes

This paper deals with the problem of constructing envelopes of holomorphy for Riemann domains over a locally convex space. When this locally convex space is a countable product of complex planes the existence of the envelope of holomorphy is proved and the domains of holomorphy are characterized. For the Riemann domains over the cartesian product CN of a countable number of complex planes, the ...