Trudinger inequalities without derivatives
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- by Paul MacManus and Carlos Pérez PDF
- Trans. Amer. Math. Soc. 354 (2002), 1997-2012 Request permission
Abstract:
We prove that the Trudinger inequality holds on connected homogeneous spaces for functions satisfying a very weak type of Poincaré inequality. We also illustrate the connection between this result and the John-Nirenberg theorem for BMO.References
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Additional Information
- Paul MacManus
- Affiliation: Department of Mathematics, National University of Ireland, Maynooth, Co. Kildare, Ireland
- Address at time of publication: Phillips Exeter Academy, 20 Main St., Exeter, New Hampshire 03833
- Email: pmacmanus@exeter.edu
- Carlos Pérez
- Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, 41080 Sevilla, Spain
- Email: carlosperez@us.es
- Received by editor(s): March 23, 1999
- Received by editor(s) in revised form: July 30, 1999
- Published electronically: January 7, 2002
- Additional Notes: Supported by grant ERBFMBICT960939 of the TMR programme of the European Union. This research was carried out during a stay at the Universidad Autónoma de Madrid, and the author wishes to extend his thanks to the Department of Mathematics there.
Research partially supported by DGESIC grant PB98-0106, Spain. - © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 1997-2012
- MSC (2000): Primary 46E35; Secondary 46E30, 42B25
- DOI: https://doi.org/10.1090/S0002-9947-02-02918-5
- MathSciNet review: 1881027