Skip to main content

Local Extension of Holomorphic L2-Functions with Weights

  • Conference paper
Complex Analysis

Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

  • 398 Accesses

Abstract

Let Ω be a bounded pseudoconvex damain in ℂn; by dΩ we denote the boundary distance function of Ω. Let H = Hk be a k-dimensional linear subspace of ℂn such that Ω ⋂ H ≠ ϕ. We also suppose O ∈ bΩ. Let δ≥O be fixed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Andreotti, A.— Vesentini, E.: Carleman estimates for the Laplace-Beltrami equation on conplex manifolds I.H.E.S. Publ. 25, 313–362 (1965)

    MATH  Google Scholar 

  2. Bormeau, P.-Diederich,K.: Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains In press

    Google Scholar 

  3. Diederich, K. Fomaess, J.E.: Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustions functions Inv. Math. 39, 129–141 (1977)

    Article  MATH  Google Scholar 

  4. Ohsawa, T. Takegoshi, K.: On the extension of L2 holomorphic functions Math. Z., 195, 197–204 (1987)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

About this paper

Cite this paper

Diederich, K., Herbort, G. (1991). Local Extension of Holomorphic L2-Functions with Weights. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-322-86856-5_18

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-86858-9

  • Online ISBN: 978-3-322-86856-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics