Hartogs Type Theorems for CR L^{2} functions on Coverings of Strongly Pseudoconvex Manifolds

Alexander Brudnyi

Hartogs Type Theorems for CR L^{2} functions on Coverings of Strongly Pseudoconvex Manifolds

Complex Variables 2007-05-23 v3

Authors: Alexander Brudnyi

Abstract

We prove an analog of the classical Hartogs extension theorem for CR $L^{2}$ functions defined on boundaries of certain (possibly unbounded) domains on coverings of strongly pseudoconvex manifolds. Our result is related to a problem posed in the paper of Gromov, Henkin and Shubin [GHS] on holomorphic $L_{2}$ functions on coverings of pseudoconvex manifolds.

Keywords

Hartogs theorem CR L^2 functions strongly pseudoconvex manifolds coverings extension theorem

Cite

@article{arxiv.math/0512185,
  title  = {Hartogs Type Theorems for CR L^{2} functions on Coverings of Strongly Pseudoconvex Manifolds},
  author = {Alexander Brudnyi},
  journal= {arXiv preprint arXiv:math/0512185},
  year   = {2007}
}

Comments

16 pages, revised version

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