Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Maximum Principles for Subharmonic Functions Via Local Semi-Dirichlet Forms

  • Kazuhiro Kuwae
  • Journal:
    Canadian Journal of Mathematics / Volume 60 / Issue 4 / 01 August 2008
    Published online by Cambridge University Press:
    20 November 2018, pp. 822-874
    Print publication:
    01 August 2008
    • Article
      • You have access
    • PDF
    • Export citation

  • Maximum principles for subharmonic functions in the framework of quasi-regular local semi-Dirichlet forms admitting lower bounds are presented. As applications, we give weak and strong maximum principles for (local) subsolutions of a second order elliptic differential operator on the domain of Euclidean space under conditions on coefficients, which partially generalize the results by Stampacchia.

  • Complex Uniform Convexity and Riesz Measures

  • Gordon Blower, Thomas Ransford
  • Journal:
    Canadian Journal of Mathematics / Volume 56 / Issue 2 / 01 April 2004
    Published online by Cambridge University Press:
    20 November 2018, pp. 225-245
    Print publication:
    01 April 2004
    • Article
      • You have access
    • PDF
    • Export citation

  • The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue ${{L}^{p}}$ spaces and the von Neumann-Schatten trace ideals. Banach spaces that are $q$-uniformly $\text{PL}$-convex in the sense of Davis, Garling and Tomczak-Jaegermann are characterized in terms of the mass distribution of this measure. This gives a new proof that the trace ideals ${{c}^{p}}$ are 2-uniformly $\text{PL}$-convex for $1\,\le \,p\,\le \,2$.