L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator
Resource Information
The work L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator
Resource Information
The work L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator
 Title remainder
 Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator
 Statement of responsibility
 by Takeo Ohsawa
 Language

 eng
 eng
 Summary
 The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L2 extension of holomorphic functions. In Chapter 1, the classical questions of several complex variables motivating the development of this field are reviewed after necessary preparations from the basic notions of those variables and of complex manifolds such as holomorphic functions, pseudoconvexity, differential forms, and cohomology. In Chapter 2, the L2 method of solving the dbar equation is presented emphasizing its differential geometric aspect. In Chapter 3, a refinement of the Oka–Cartan theory is given by this method. The L2 extension theorem with an optimal constant is included, obtained recently by Z. Błocki and by Q.A. Guan and X.Y. Zhou separately. In Chapter 4, various results on the Bergman kernel are presented, including recent works of Maitani–Yamaguchi, Berndtsson, and Guan–Zhou. Most of these results are obtained by the L2 method. In the last chapter, rather specific results are discussed on the existence and classification of certain holomorphic foliations and Levi flat hypersurfaces as their stables sets. These are also applications of the L2 method obtained during these 15 years
 Dewey number
 510
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 pqTgEV8e_m4
 Language note
 English
 LC call number
 QA331.7
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer Monographs in Mathematics,
Context
Context of L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar OperatorWork of
No resources found
No enriched resources found
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/resource/tWBiK6JLPM/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/resource/tWBiK6JLPM/">L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Work L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/resource/tWBiK6JLPM/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/resource/tWBiK6JLPM/">L2 Approaches in Several Complex Variables : Development of Oka–Cartan Theory by L2 Estimates for the dbar Operator</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>