Title of article
Lu Qi-Kengʹs problem on some complex ellipsoids
Author/Authors
Zhang، نويسنده , , Liyou and Yin، نويسنده , , Weiping، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
7
From page
364
To page
370
Abstract
In this note, we give an improvement on the Bergman kernel for the domain { ( w , z ) ∈ C m × C n : ‖ w ‖ m 2 p + ‖ z ‖ n 2 < 1 } . As an application, we describe how the zeroes of the kernel depend on the defining parameters p , m , n . We also consider the domain { { ( w , z ) ∈ C 2 : | w | 4 + | z | 4 < 1 } .
Keywords
Lu Qi-Keng problem , Bergman kernel , Weighted Bergman kernel
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560401
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