一类极大算子在汞齐子空间中的加权模不等式
Weighted norms inequalities for a maximal operator in some subspace of amalgams
摘要：
给出了Hardy-Littlewood的极大分数次算子$ \mathcal M_{q,β}$和分数次积分$I_γ$的加权范数不等式.这些不等式建立在$(L^{q},L^{p}) ^α(X,d,μ)$空间（Lebesgue空间$L^α(X,d,μ)$的超空间和汞齐空间$(L^{q},L^{p})(X,d,μ)$的子空间）之间和齐型空间$(X,d,μ)$的背景下。权的条件用Orlicz范数表示。
英文摘要：
We give weighted norm inequalities for the maximal fractional operator $ \mathcal M_{q,β}$ of Hardy-Littlewood and the fractional integral $I_γ$. These inequalities are established between $(L^{q},L^{p}) ^α(X,d,μ)$ spaces (which are super spaces of Lebesgue spaces $L^α(X,d,μ)$, and subspaces of amalgams $(L^{q},L^{p})(X,d,μ)$) and in the setting of space of homogeneous type $(X,d,μ)$. The conditions on the weights are stated in terms of Orlicz norm.
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