The disc method

  title={The disc method},
  author={John Erik Forn{\ae}ss},
The well known Bochner’s Extension Theorem states that holomorphic functions defined in a connected neighborhood of the boundary of any bounded domain inC, n > 1, extend holomorphically to the interior of the domain. There are three classical methods for proving such a result: 1: Using the Bochner-Martinelli kernel to extend functions to the inside. 2. To use solutions of̄ ∂ with compact support. 3. Pushing discs. The first two methods are well established. The third method is folklore. The… CONTINUE READING

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