31,563 research outputs found
Lipschitzness of the Lempert and Green functions
No full text12 pagesInternational audienceNecessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors
Lipschitzness of the Lempert and Green functions
No full text12 pagesInternational audienceNecessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors
Thomas Grisell letter to Thomas Rotch, 2nd mo 19th 1823
No full textThomas Grisell's letter reached the Rotch household several months before the unexpected death of Thomas Rotch in August, 1823. This is the last letter of the series and presumably the author learned of his friend's death before another letter was penned. 7.95" x 10" (20.2 by 25.5 cm
An example of limit of Lempert Functions
No full text16 pages; references added to related work of the authorInternational audienceThe Lempert function for several poles in a domain of is defined at the point as the infimum of over all the choices of points in the unit disk so that one can find a holomorphic mapping from the disk to the domain sending 0 to . This is always larger than the pluricomplex Green function for the same set of poles, and in general different. Here we look at the asymptotic behavior of the Lempert function for three poles in the bidisk (the origin and one on each axis) as they all tend to the origin. The limit of the Lempert functions (if it exists) exhibits the following behavior: along all complex lines going through the origin, it decreases like , except along three exceptional directions, where it decreases like . The (possible) limit of the corresponding Green functions is not known, and this gives an upper bound for it
An example of limit of Lempert Functions
No full text16 pages; references added to related work of the authorInternational audienceThe Lempert function for several poles in a domain of is defined at the point as the infimum of over all the choices of points in the unit disk so that one can find a holomorphic mapping from the disk to the domain sending 0 to . This is always larger than the pluricomplex Green function for the same set of poles, and in general different. Here we look at the asymptotic behavior of the Lempert function for three poles in the bidisk (the origin and one on each axis) as they all tend to the origin. The limit of the Lempert functions (if it exists) exhibits the following behavior: along all complex lines going through the origin, it decreases like , except along three exceptional directions, where it decreases like . The (possible) limit of the corresponding Green functions is not known, and this gives an upper bound for it
Separate continuity of the Lempert function of the spectral ball
No full textInternational audienceWe find all matrices from the spectral unit ball such that the Lempert function is continuous
Convergence and multiplicities for the Lempert function
No full text24 pages; a new section has been added to compare with previous work (see math.CV/0206214)International audienceGiven a domain , the Lempert function is a functional on the space of analytic disks with values in , depending on a set of poles in . We generalize its definition to the case where poles have multiplicities given by local indicators (in the sense of Rashkovskii's work) to obtain a function which still dominates the corresponding Green function, behaves relatively well under limits, and is monotonic with respect to the indicators. In particular, this is an improvement over the previous generalization used by the same authors to find an example of a set of poles in the bidisk so that the (usual) Green and Lempert functions differ
Upper bound for the Lempert function of smooth domains
No full textInternational audienceAn upper estimate for the Lempert function of any -smooth bounded domain in is found in terms of the boundary distance
Failed Censures: Ecclesiastical Regulation of Women’s Clothing in Late Medieval Italy
No full textChurchmen in the late thirteenth and early fourteenth centuries tried to regulate the costume of Italian women. These efforts failed, and regulation was largely left thereafter to civic authorities.The published version was published as Chapter 3 in Medieval Clothing and Textiles 5Izbicki, Thomas M. (2009), "Failed Censures: Ecclesiastical Regulation of Women’s Clothing in Late Medieval Italy" in Netherton, Robin and Owen-Crocker, Gale R., eds., Medieval Clothing and Textiles 5 (Boydell Press), 37-53ISBN: 9781843834519 (published book)Peer reviewe
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