L p -REGULARITY FOR A CLASS OF PSEUDODIFFERENTIAL OPERATORS IN R n
2005
We study here a class of pseudodifierential operators with weighted symbols of Shubin type. First, we develop the basic elements of the pseudodifierential calculus for these operators, proving in particular a result of L p -boundedness. Then we derive regularity results in the frame of suitably deflned functional spaces of Sobolev type.
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