Harmonic analysis
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Discrete harmonic function in Z^n
There is some gap, in fact I can improve half of the argument of Discrete harmon…
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Uncertainty principle
The pdf version is Uncertainty principle. The nice note of terrence tao see…
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Pesudo differential opertor and singular integral
I already understand this material 3days ago but it is a little difficult for me…
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A glimpse to the general theory
1. Introduction We have talked about a very basic result in singular integral, i…
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Calderon-Zygmund theory of singular integrals.
1. Calderon-Zygmund decomposition The Calderon-Zygmund decomposition is a key st…
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Almost orthogonality
Motivation and Cotlar’s lemma We always need to consider a transform $lat…
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An Fourier coefficient decay estimate.
f is a matrix value analytic function on $latex \mathbb T$, we know $latex h(f)&…
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Linear to Multi-linear
The technique that transform a problem which is in a linear setting to a multili…
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Kakeya conjecture (Tomas Wolff 1995)
There is a main obstacle to improve the kakeya conjecture,remain in dimension 3,…
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Fractional uncertain principle
semyon dyatlov的一篇文章 semyon dyatlov的文章https://arxiv.org/pdf/1710.05430.pdf，用fract…