臺灣博碩士論文加值系統

鍵入論文的中文摘要

We give a new proof for the Lp boundedness of pseudo-differential operator of class S1,1. The method we applied is the combination of [4] and Rademacher function.

鍵入論文的論文目次

[1] M. S. Baouendi, C. Goulaouic, and G. M´etivier, Kernels and symbols
of analytic pseudo-differential operators, J. Differential Equation
48 (1983), 227-240.
[2] R. R. Coifman and Y. Meyer, Au del´a des op´erators pseudo-differentails,
Asterisque 57 (1978).
[3] I. L. Hwang, The L2-boundedness of pseudo-differential opearators,
Trans. Amer. Math. Soc. 320 (1987), 55-76.
[4] I. L. Hwang and R. B. Lee, Lp-boundedness of Pseudo-differential
Opearators of class S0,0, Trans. Amer. Math. Soc. 346 (1994), 489-510.
[5] E. M. Stein, Singular integral, Princeton University Press, Newjersey,
1970, p.105.
[6] M. E. Taylor, Pseudodifferential operators, Princeton University Press,
Newjersey, 1981.