A non-inequality for differential operators in the L1 norm

@inproceedings{Ornstein1962ANF,
  title={A non-inequality for differential operators in the L1 norm},
  author={Donald S. Ornstein},
  year={1962}
}
The first question is mitural since the answer is yes if the L 1 norm is replaced by the Lp norm for t < p < oo and since this kind of inequality has proved useful in studying differential equations. The question for the L1 norm was originally raised by HENRI MOREL, who showed that a negative answer would give a distribution, T, which is not a measure but whose first order derivatives are of order 1, thus providing a counter-example to a question raised by LAURENT SCHWARTZ in his Theory of… CONTINUE READING
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