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首页> 外文期刊>Mathematical inequalities & applications >COMMUTATORS OF POTENTIAL TYPE OPERATORS WITH LIPSCHITZ SYMBOLS ON VARIABLE LEBESGUE SPACES WITH DIFFERENT WEIGHTS
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COMMUTATORS OF POTENTIAL TYPE OPERATORS WITH LIPSCHITZ SYMBOLS ON VARIABLE LEBESGUE SPACES WITH DIFFERENT WEIGHTS

机译:潜在型运营商的换向器与Lipschitz符号在变量的Lebesgue空间上有不同的权重

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摘要

We prove that a generalized Fefferman-Phong type condition on a pair of weights u and v is sufficient for the boundedness of the commutators of potential type operators from L-v(p(.)) into L-u(q(.)). We also give an improvement of this result in the sense that we not only consider a variable version of power bump conditions, but also weaker norms related to Musielak-Orlicz functions.
机译:我们证明了一对权重U和V上的广义FEFFERMAN-PHONG型条件足以使潜在型操作员的换向器的界限(P(。))进入L-U(Q(。))。 我们还提高了这一结果的意义,因为我们不仅考虑动力凹凸条件的变量版本,而且与Musielak-Orlicz功能有关的规范较弱。

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