L^pR^n-continuity of translation invariant anisotropic pseudodifferential operators: a necessary conditionReport as inadecuate



 L^pR^n-continuity of translation invariant anisotropic pseudodifferential operators: a necessary condition


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We consider certain anisotropic translation invariant pseudodifferential operators, belonging to a class determined by an appropriate order function and a vector-valued weight function, defined on $R^n$. We prove that the boundedness of a suitable function $F p$, associated with order and weight, is necessary to let every element in the class be a $L^pR^n$-multiplier, $1





Author: S. Coriasco; M. Murdocca

Source: https://archive.org/







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