We obtain weighted $L^p$ inequalities for pseudo-differential operators withsmooth symbols and their commutators by using a class of new weight functionswhich include Muckenhoupt weight functions. Our results improve essentiallysome well-known results.
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机译：通过使用包括Muckenhoupt权函数的一类新的权函数，我们获得了具有平滑符号的伪微分算子及其交换子的加权$ L ^ p $不等式。我们的结果基本上改善了一些众所周知的结果。
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