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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| 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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