A CONDITION FOR LOCAL INTEGRABILITY OF NEGATIVE POWERS OF SMOOTH FUNCTIONS IN TWO VARIABLES

Let f(x,y) be a smooth real-valued function defined in a sufficiently small neighborhood U of the origin such that f(0,0) = 0.  We study the set of all positive ε for which $$\int_{U}|f(x,y)|^{-\varepsilon}dxdy < \infty.$$ We provide a condition for the Newton polygon characterization such that...

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Bibliographic Details
Main Author: Thi Thao Nguyen
Format: Article
Language:English
Published: Dalat University 2025-05-01
Series:Tạp chí Khoa học Đại học Đà Lạt
Subjects:
Online Access:https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/1391
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