Background Material on Sobolev Spaces and Regularity

  • Terrence Napier
  • Mohan Ramachandran
Part of the Cornerstones book series (COR)


This chapter is required for the proof of integrability of almost complex structures in Chap.  6. The main goal is a regularity theorem for first order differential operators satisfying a certain estimate.


Banach Space Differential Operator Sobolev Space Compact Support Complex Variable 
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    L. Hörmander, An Introduction to Complex Analysis in Several Variables, third edition, North-Holland, Amsterdam, 1990. MATHGoogle Scholar
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    R. Narasimhan, Analysis on Real and Complex Manifolds, North-Holland, Amsterdam, 1968. MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsLehigh UniversityBethlehemUSA
  2. 2.Department of MathematicsSUNY at BuffaloBuffaloUSA

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