On the boundedness of pseudo-differential operators
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- by Chin Hung Ching PDF
- Proc. Amer. Math. Soc. 41 (1973), 179-182 Request permission
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.References
- Alberto-P. Calderón and Rémi Vaillancourt, On the boundedness of pseudo-differential operators, J. Math. Soc. Japan 23 (1971), 374–378. MR 284872, DOI 10.2969/jmsj/02320374
- A. W. Knapp and E. M. Stein, Singular integrals and the principal series. I, II, Proc. Nat. Acad. Sci. U.S.A. 63 (1969), 281–284; ibid. 66 (1969), 13–17. MR 263989, DOI 10.1073/pnas.66.1.13
- J. J. Kohn and L. Nirenberg, An algebra of pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 269–305. MR 176362, DOI 10.1002/cpa.3160180121
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 179-182
- MSC: Primary 47G05; Secondary 35S05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320823-0
- MathSciNet review: 0320823