Conformal dimension does not assume values between zero and one

Conformal dimension does not assume values between zero and one

We prove that the conformal dimension of any metric space is at least one unless it is zero. This confirms a conjecture of J. T. Tyson [23, Conj. 1.2]

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Veröffentlicht in:Duke mathematical journal 2006-07, Vol.134 (1), p.1-13
1. Verfasser: Kovalev, Leonid V.
Format: Artikel
Sprache:eng
Schlagworte:
46B20
47H06
51F99
Accretive operators
but in this section
dissipative operators
etc
Geometry and structure of normed linear spaces
None of the above
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Beschreibung
Zusammenfassung:We prove that the conformal dimension of any metric space is at least one unless it is zero. This confirms a conjecture of J. T. Tyson [23, Conj. 1.2]
ISSN:0012-7094
1547-7398
DOI:10.1215/S0012-7094-06-13411-7