Guantie Deng

activity

20152022

1 < p < \infty

) over Lipschitz Domains

1 citations · 1 across the 10 of their papers we have counts for

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math.CV2022

$L^{p}$ regularity of the Bergman projection on generalizations of the Hartogs triangle in $C^{n + 1}$

Qian Fu, Guan-Tie Deng, Hui Cao

In this paper we investigate a class of domains $Ω_{k}^{n + 1} = {(z, w) \in C^{n} \times C : ∣ z ∣^{k} < ∣ w ∣ < 1}$ for $k \in Z^{+}$ which generalizes the Hartogs tria…

math.CV2020

Phase Retrieval in Hardy Space

Wei Qu, Xiao-Yun Sun, Guan-Tie Deng

This paper concerns the study of reconstructing a function $f$ in the Hardy space of the unit disc $\D$ from intensity measurements $|f(z)|,\ z\in \D.$ It's known as the problem of…

math.CV2020

Reproducing kernels of some weighted Bergman spaces

Guan-Tie Deng, Yun Huang, Tao Qian

Herein, the theory of Bergman kernel is developed to the weighted case. A general form of weighted Bergman reproducing kernel is obtained, by which we can calculate concrete Bergma…

math.CV2020

A sufficient condition for n-Best Kernel Approximation in Reproducing Kernel Hilbert Spaces

Wei Qu, Tao Qian, Guan-Tie Deng

We show that if a reproducing kernel Hilbert space $H_{K},$ consisting of functions defined on $E,$ enjoys Double Boundary Vanishing Condition (DBVC) and Linear Independent Con…

math.CV2017

Hardy Space Decompositions of $L^{p} (R^{n})$ for $0 < p < 1$ with Rational Approximation

Guantie Deng, Haichou Li, Tao Qian

This paper aims to obtain decompositions of higher dimensional $L^{p} (R^{n})$ functions into sums of non-tangential boundary limits of the corresponding Hardy space functions…

math.CV2017

Hardy Spaces over Half-strip Domains

Guantie Deng, Rong Liu

We define Hardy spaces $H^{p} (Ω_{\pm})$ on half-strip domain~ $Ω_{+}$ and $Ω_{-} = C ∖ Ω_{+}$ , where $0 < p < \infty$ , and prove that functions in $H^{p} (Ω_{\pm})$ has non-ta…

Lp regularity of the Bergman projection on generalizations of the Hartogs triangle in Cn+1

Phase Retrieval in Hardy Space

Reproducing kernels of some weighted Bergman spaces

A sufficient condition for n-Best Kernel Approximation in Reproducing Kernel Hilbert Spaces

Hardy Space Decompositions of Lp(Rn) for 0<p<1 with Rational Approximation

Hardy Spaces over Half-strip Domains

$L^{p}$ regularity of the Bergman projection on generalizations of the Hartogs triangle in $C^{n + 1}$

Hardy Space Decompositions of $L^{p} (R^{n})$ for $0 < p < 1$ with Rational Approximation