Lipschitzness of the Lempert and Green functions

Nikolov, Nikolai; Pflug, Peter; Thomas, Pascal J.

doi:10.1090/s0002-9939-09-09794-9

Proc. Amer. Math. Soc.

2009

DOI: 10.1090/s0002-9939-09-09794-9

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Lipschitzness of the Lempert and Green functions

Nikolai Nikolov¹,

Peter Pflug²,

Pascal J. Thomas³

Abstract: Abstract. Necessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors.

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“…It is natural to ask whether the reverse inequality holds for kD (see [4]). Then the reverse inequality will imply ( * ) if z and w are not close to one and the same boundary point.…”

mentioning

confidence: 99%

Upper bound for the Lempert function of smooth domains

Nikolov¹,

Pflug²,

Thomas³

2009

Math. Z.

Self Cite

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“…It is natural to ask whether the reverse inequality holds for kD (see [4]). Then the reverse inequality will imply ( * ) if z and w are not close to one and the same boundary point.…”

mentioning

confidence: 99%

Upper bound for the Lempert function of smooth domains

Nikolov¹,

Pflug²,

Thomas³

2009

Math. Z.

Self Cite

View full text Add to dashboard Cite

show abstract

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Lipschitzness of the Lempert and Green functions

Abstract: Abstract. Necessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors.

Cited by 1 publication

References 8 publications

Upper bound for the Lempert function of smooth domains

Upper bound for the Lempert function of smooth domains

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