Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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APPROXIMATION OF NON-HOLOMORPHIC MAPS, AND POLETSKY THEORY OF DISCS

  • Published : 2003.05.06
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Abstract

We prove an approximation result, and we get a new proof of the main result in [7]. I hope that this new proof may be a step towards a generalization of the Poletsky theory of discs to the case of almost complex manifolds.

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References

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Cited by

  1. Local approximation of non-holomorphic discs in almost complex manifolds 2017, https://doi.org/10.1016/j.jmaa.2017.08.050
  2. Lelong functional on almost complex manifolds vol.60, pp.2, 2015, https://doi.org/10.1080/17476933.2014.904297
  3. Poletsky theory of discs in almost complex manifolds vol.59, pp.2, 2014, https://doi.org/10.1080/17476933.2012.734300
  4. Sets of Approximation and Interpolation in ℂ for Manifold-Valued Maps vol.18, pp.3, 2008, https://doi.org/10.1007/s12220-008-9030-2
  5. A Disc Formula for Plurisubharmonic Subextensions in Manifolds vol.25, pp.2, 2015, https://doi.org/10.1007/s12220-014-9474-5