某些算子和交换子在非齐型空间上的Morrey-Herz空间中的有界性

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The authors introduce the homogeneous Morrey-Herz spaces and the weak homogeneous Morrey-Herz spaces on non-homogeneous spaces and establish the boundedness in homogeneous Morrey-Herz spaces for a class of sublinear operators including Hardy-Littlewood maximal operators,Calder(o)n-Zygmund operators and fractional integral operators.Furthermore,some weak estimate of these operators in weak homogeneous Morrey-Herz spaces are also obtained.Moreover,the authors discuss the boundedness in homogeneous Morrey-Herz spaces of the maximal commutators associated with Hardy-Littlewood maximal operators and multilinear commutators generated by Calder(o)n-Zygmund operators or fractional integral operators with RBMO(μ)functions.
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