Beijing Normal University

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20022009

most citedImproving the security of multiparty quantum secret sharing against Trojan horse attack

580 citations

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6 papers · 1 filter

math.CA2009

New Orlicz-Hardy Spaces Associated with Divergence Form Elliptic Operators

Renjin Jiang, Dachun Yang

Let $L$ be the divergence form elliptic operator with complex bounded measurable coefficients, $ω$ the positive concave function on $(0, \infty)$ of strictly critical lower type $p_…

math.CA2009

Radial Maximal Function Characterizations of Hardy Spaces on RD-Spaces and Their Applications

Dachun Yang, Yuan Zhou

Let $X$ be an RD-space with $μ (X) = \infty$ , which means that $X$ is a space of homogeneous type in the sense of Coifman and Weiss and its measure ha…

math.CA2009

Characterizations of BMO Associated with Gauss Measures via Commutators of Local Fractional Integrals

Liguang Liu, Dachun Yang

Let $d γ (x) \equiv π^{- n /2} e^{- ∣ x ∣^{2}} d x$ for all $x \in R^{n}$ be the Gauss measure on $R^{n}$ . In this paper, the authors establish the characterizations of the space B…

math.CA2009

Boundedness of Sublinear Operators on Product Hardy Spaces and Its Application

Der-Chen Chang, Dachun Yang, Yuan Zhou

Let $p \in (0, 1]$ . In this paper, the authors prove that a sublinear operator $T$ (which is originally defined on smooth functions with compact support) can be extended as a bounded…

math.CA2009

On Maximal L^p-regularity

Frédéric Bernicot, Jiman Zhao

The aim of this paper is to propose weak assumptions to prove maximal L^q regularity for Cauchy problem: du/dt - Lu(t)=f(t). Mainly we only require "off-diagonal" estimates on the…

math.CA2007

Maximal regularity and Hardy spaces

Pascal Auscher, Frédéric Bernicot, Jiman Zhao

In this work, we consider the Cauchy problem for $u^{'} - A u = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order…