Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
Download PDF
Download PDF
  • Article
  • Published: November 1997

Logarithmic Sobolev inequalities on noncompact Riemannian manifolds

  • Feng-Yu Wang1 

Probability Theory and Related Fields volume 109, pages 417–424 (1997)Cite this article

  • 822 Accesses

  • 179 Citations

  • Metrics details

Summary.

This paper presents a dimension-free Harnack type inequality for heat semigroups on manifolds, from which a dimension-free lower bound is obtained for the logarithmic Sobolev constant on compact manifolds and a new criterion is proved for the logarithmic Sobolev inequalities (abbrev. LSI) on noncompact manifolds. As a result, it is shown that LSI may hold even though the curvature of the operator is negative everywhere.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China e-mail: wangfy@bnu.edu.cn, , , , , , CN

    Feng-Yu Wang

Authors
  1. Feng-Yu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 24 July 1996 / In revised form: 25 June 1997

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Wang, FY. Logarithmic Sobolev inequalities on noncompact Riemannian manifolds. Probab Theory Relat Fields 109, 417–424 (1997). https://doi.org/10.1007/s004400050137

Download citation

  • Issue Date: November 1997

  • DOI: https://doi.org/10.1007/s004400050137

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • AMS Subject Classification (1991): 35P15
  • 60J60
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature