| Summary: | 碩士 === 國立中正大學 === 應用數學研究所 === 81 === We study the L^p-boundedness of pseudo-differential
operatorsith the support of their symbols being contained in E*
R^n, whereis a compact subset of R^n, and their symbols only
have the derivatives with respect to x up to order k, in the
Holderous sense, where k>n/2 (the case 1<p .ltorsim. 2) andase
2<p< .inf.). We also give a new proof of the, 1<p< .inf., of
pseudo-differential operators ofwhere m=m(p)=-n .absolute.(1/
p-1/2), and a .in.es .absolute.(▇ ▇ a(x, .xi.)) .ltorsim. ▇
▇in. ▇, .absolute.(.alpha.) .ltorsim. k anda.) .ltorsim. k',
in the Holder continuous sense,>n/p (the case 1<p .ltorsim. 2)
and k>n/p, k'>n/2.inf.).
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