Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams

Canadian mathematical bulletin

关键词: fractional maximal operator;    fractional integral;    space of homogeneous type;   

DOI  :  10.4153/CMB-2010-015-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We give weighted norm inequalities for the maximal fractional operator $ mathcal M_{q,eta }$ of Hardy–Littlewood and the fractional integral $I_{gamma}$. These inequalities are established between $(L^{q},L^{p}) ^{alpha }(X,d,mu )$ spaces (which are superspaces of Lebesgue spaces $L^{alpha}(X,d,mu)$ and subspaces of amalgams $(L^{q},L^{p})(X,d,mu)$) and in the setting of space of homogeneous type $(X,d,mu)$. The conditions on the weights are stated in terms of Orlicz norm.

【 授权许可】

Unknown