【摘 要】
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Let(x ,d,μ)be a non-homogeneous space,which means that(x ,d,μ)is a metric measure space satisfying both the geometrically doubling and the upper doubling cond
【出 处】
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Harmonic Analysis and Applications(2014调和分析及其应用学术会议)
论文部分内容阅读
Let(x ,d,μ)be a non-homogeneous space,which means that(x ,d,μ)is a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.In this talk,we introduce the atomic Hardy space～H 1,p atb(μ)via the discrete coefficient～K(ρ)B,S for ρ∈(1,1)and balls B(∪)S of x and establish the corresponding molecular characterization of～H 1,p atb(μ).As an application,we obtain the boundedness of the Calderón-Zygmund operator on～H 1,p atb(μ).Moreover,we give a sufficient condition to guarantee that～H 1,p atb(μ)coincides with the existing atomic Hardy space H1,p atb(μ).
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