Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Monge-Ampère Measures Associated to Extremal Plurisubharmonic Functions in Cn

Norman Levenberg
Transactions of the American Mathematical Society
Vol. 289, No. 1 (May, 1985), pp. 333-343
DOI: 10.2307/1999703
Stable URL: http://www.jstor.org/stable/1999703
Page Count: 11
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Monge-Ampère Measures Associated to Extremal Plurisubharmonic Functions in Cn
Preview not available

Abstract

We consider the extremal plurisubharmonic functions L* E and U* E associated to a nonpluripolar compact subset E of the unit ball $B \subset C^n$ and show that the corresponding Monge-Ampère measures (ddcL * E)n and (ddcU * E)n are mutually absolutely continuous. We then discuss the polynomial growth condition (L*), a generalization of Leja's polynomial condition in the plane, and study the relationship between the asymptotic behavior of the orthogonal polynomials associated to a measure on E and the (L*) condition.

Page Thumbnails

  • Thumbnail: Page 
333
    333
  • Thumbnail: Page 
334
    334
  • Thumbnail: Page 
335
    335
  • Thumbnail: Page 
336
    336
  • Thumbnail: Page 
337
    337
  • Thumbnail: Page 
338
    338
  • Thumbnail: Page 
339
    339
  • Thumbnail: Page 
340
    340
  • Thumbnail: Page 
341
    341
  • Thumbnail: Page 
342
    342
  • Thumbnail: Page 
343
    343