Guantie Deng

activity

20112022

1 < p < \infty

) over Lipschitz Domains

1 citations · 1 across the 14 of their papers we have counts for

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4 papers · 1 filter

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…

math.CV2017

Notes of Boundedness on Cauchy Integrals on Lipschitz Curves ( $p = 2$ )

Guantie Deng, Rong Liu

We provide the details of the first proof in~\cite{CJS89}, which proved that Cauchy transform of $L^{2}$ ~functions on Lipschitz curves is bounded. We then prove that every $L^{2}$ ~func…

math.CV2017★ 1 cited

Hardy Spaces ( $1 < p < \infty$ ) over Lipschitz Domains

Guantie Deng, Rong Liu

Let $Γ$ be a Lipschitz curve on the complex plane $C$ and $Ω_{+}$ is the domain above $Γ$ , we define Hardy space $H^{p} (Ω_{+})$ as the set of holomorphic functions $F$ satisfyin…

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

Hardy Spaces over Half-strip Domains

Notes of Boundedness on Cauchy Integrals on Lipschitz Curves (p=2)

Hardy Spaces (1<p<∞) over Lipschitz Domains

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

Notes of Boundedness on Cauchy Integrals on Lipschitz Curves ( $p = 2$ )

Hardy Spaces ( $1 < p < \infty$ ) over Lipschitz Domains