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IMOS
  • Member for 3 years, 10 months
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About

I have a bachelor's degree in Mathematics. Now I am a graduate student majoring in Pure mathematics.

My research interests lie in Sharp functional inequality (mainly in HLS and related inequalities), Harmonic analysis.

I am also interested in partial differential equation.

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question
6
A lemma in the application of Concentration compactness principle in Hardy-Littlewood-Sobolev inequality
Oct 6, 2023
answer
4
An inequality equivalent to Hörmander's condition $\sup_{y\in\mathbb R^n}\int_{\{x: |x|>2|y|\}}|K(x-y)-K(x)|\,dx<\infty$
Nov 3, 2022
answer
3
The Fourier transform of $e^{-2\pi|x|}$ for $x\in\mathbb{R}^d$.
Nov 25, 2022
question
2
Evaluate $\int_{\Bbb S^n}\int_{\Bbb S^n}|s-t|^{-\lambda}\,{\rm d}s\,{\rm d}t$
Nov 8, 2021
question
2
Estimate for $a_m$ in the Fourier multiplier $\sum_{m\in \mathbb{Z}^n}a_me^{-2\pi i x\cdot m}$
Nov 25, 2022
answer
2
Exercise $2.3.2$ of Grafakos, Classical Fourier Analysis.
Nov 8, 2022
answer
2
Exercise 2.3.5 in Grafakos, Classical Fourier Analysis
Nov 11, 2022
answer
2
How to calculate the Fourier transform of the Poisson kernel
Nov 18, 2022
answer
2
How to do Fresnel Integration using Complex Analysis?
Nov 20, 2022
question
1
Construct a special $C_0^\infty$ function
Apr 19, 2023