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Boundedness of rough singular integral operators and commutators on Morrey-Herz spaces with variable exponents

机译:具指数变数的Morrey-Herz空间上的奇异积分算子和交换子的有界性

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摘要

By decomposing functions, we establish some boundedness results for some rough singular integrals on the homogeneous Morrey-Herz spaces M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( R n ) $Mdot{K}_{q, p(cdot)}^{lpha(cdot),lambda}({Bbb{ R}}^{n})$ , where the two main indices are variable. The corresponding results as regards their commutators are also considered.
机译:通过分解函数,我们在齐次的Morrey-Herz空间MK˙q,p(⋅)α(⋅),λ(R n)$ M dot {K} _ {q, p( cdot)} ^ { alpha( cdot), lambda}({ Bbb {R}} ^ {n})$,其中两个主要索引是变量。还考虑了有关其换向器的相应结果。

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