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Lower bounds on the kobayashi metric near a point of infinite type

Journal Article


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Abstract


  • © 2015 Mathematica Josephina, Inc. Under a potential-theoretical hypothesis named f-property which holds for all pseudoconvex domains of finite type and many examples of infinite type, we give a new method for constructing a family of bumping functions and hence plurisubharmonic peak functions with good estimates. The rate of lower bounds on the Kobayashi metric follows by the estimates of peak functions. The application to the continuous extendibility of proper holomorphic maps is given.

Publication Date


  • 2016

Citation


  • Khanh, T. (2016). Lower bounds on the kobayashi metric near a point of infinite type. Journal of Geometric Analysis, 26 (1), 616-629.

Scopus Eid


  • 2-s2.0-84953635982

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=5536&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/4515

Has Global Citation Frequency


Number Of Pages


  • 13

Start Page


  • 616

End Page


  • 629

Volume


  • 26

Issue


  • 1

Place Of Publication


  • United States

Abstract


  • © 2015 Mathematica Josephina, Inc. Under a potential-theoretical hypothesis named f-property which holds for all pseudoconvex domains of finite type and many examples of infinite type, we give a new method for constructing a family of bumping functions and hence plurisubharmonic peak functions with good estimates. The rate of lower bounds on the Kobayashi metric follows by the estimates of peak functions. The application to the continuous extendibility of proper holomorphic maps is given.

Publication Date


  • 2016

Citation


  • Khanh, T. (2016). Lower bounds on the kobayashi metric near a point of infinite type. Journal of Geometric Analysis, 26 (1), 616-629.

Scopus Eid


  • 2-s2.0-84953635982

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=5536&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/4515

Has Global Citation Frequency


Number Of Pages


  • 13

Start Page


  • 616

End Page


  • 629

Volume


  • 26

Issue


  • 1

Place Of Publication


  • United States