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...
Saved in:
Main Author: | |
---|---|
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 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Be the first to leave a comment!