Universität zu Köln

Kawohl, Bernd, Nitsch, Carlo ORCID: 0000-0001-6673-9332 and Sweers, Guido ORCID: 0000-0003-0180-5890 (2015). More on the Potential for the Farthest-Point Distance Function. Potential Anal., 42 (3). S. 699 - 717. DORDRECHT: SPRINGER. ISSN 1572-929X

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Abstract

For some particular cases in dimension 3 and higher we prove a conjecture of Laugesen and Pritsker (Canad. Math. Bull., 46, pp. 373-387, 2003) concerning the probability measure related with the farthest-point distance function. In dimension 2 we offer an alternative proof for the result by Gardiner and Netuka. We also consider some examples that may provide more insight in the nature of the problem.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kawohl, Bernd UNSPECIFIED UNSPECIFIED UNSPECIFIED Nitsch, Carlo UNSPECIFIED orcid.org/0000-0001-6673-9332 UNSPECIFIED Sweers, Guido UNSPECIFIED orcid.org/0000-0003-0180-5890 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-403309
DOI:	10.1007/s11118-014-9454-1
Journal or Publication Title:	Potential Anal.
Volume:	42
Number:	3
Page Range:	S. 699 - 717
Date:	2015
Publisher:	SPRINGER
Place of Publication:	DORDRECHT
ISSN:	1572-929X
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language INEQUALITIES Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/40330