Abstract
The authors establish the weightedLpestimates for a class of pseudodifferential operators for both cases1<p<∞andp=1, where the weight class is bigger than the classical Muckenhoupt’s weight class. Moreover, the weighted estimates for the Toeplitz operators related to pseudodifferential operators are also obtained. As their special cases, the corresponding results for the commutators of pseudodifferential operators can be deduced.
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