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Transactions of the American Mathematical Society

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The $ L\sp 2$-boundedness of pseudodifferential operators


Author: I. L. Hwang
Journal: Trans. Amer. Math. Soc. 302 (1987), 55-76
MSC: Primary 47G05; Secondary 35S05
MathSciNet review: 887496
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Abstract: We give a new proof of the Calderon-Vaillancourt theorem. We also obtain the $ {L^2}$-continuity of $ a(x,D)$ if its symbol $ a(x,\xi )$ satisfies some suitable conditions.


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DOI: https://doi.org/10.1090/S0002-9947-1987-0887496-4
Article copyright: © Copyright 1987 American Mathematical Society