Calderón-Zygmund operators on amalgam spaces and in the discrete case
Calderón-Zygmund operators on amalgam spaces and in the discrete case
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DOI：
10.1016/j.jmaa.2007.01.043
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发表时间：
2007-11
影响因子：
1.3
通讯作者：
N. Kikuchi;E. Nakai;Naohito Tomita;K. Yabuta;Tsuyoshi Yoneda
中科院分区：
文献类型：
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作者：
N. Kikuchi;E. Nakai;Naohito Tomita;K. Yabuta;Tsuyoshi Yoneda
证明了Calderón-Zygmund算子在加权ℓ空间(Lp，Wq)(Rn)上对1<；p，q<；∞的有界性.为此，我们证明了离散情况下的有界性，即ℓWQ(Zn)上的有界性。我们还研究了(Lp，ℓw∞)(Rn)。作为应用，我们考虑与Navier-Stokes方程有关的算子。
We prove the boundedness of Calderón–Zygmund operators on weighted amalgam spaces (Lp,ℓwq)(Rn) for 1<p,q<∞ with Muckenhoupt weights. To do this, we show the boundedness in the discrete case, i.e. the boundedness on ℓwq(Zn). We also investigate on (Lp,ℓw∞)(Rn). As an application we consider an operator related to the Navier–Stokes equation.