Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the boundedness of pseudo-differential operators


Author: Chin Hung Ching
Journal: Proc. Amer. Math. Soc. 41 (1973), 179-182
MSC: Primary 47G05; Secondary 35S05
MathSciNet review: 0320823
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Abstract: In this note, we use the sequence version of Cotlar's lemma and a partition of unity to give a proof of the $ {L^2}$-boundedness of a class of pseudo-differential operators.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0320823-0
Keywords: Pseudo-differential operators, symbol, bounded operator, Cotlar lemma
Article copyright: © Copyright 1973 American Mathematical Society