高等實分析二   (91年度 下學期)

1. Hausdorff dimensional measures; n-dimensional lebesgue measure and transformation of integrals. 2. Decomposition and Differentiation of Measures. Differentiation on $R^n$ and functions of a real variable (functions of bounded variation and convex functions). 3. Analysis on $L^P$-spaces-Distribution function, weak $L^P$-functions and interpolation of $L^P$-spaces. 4. Sobolev spaces and Variational methods. 5. Miscellaneous topics in Fourier Analysis and Probability.

1. Follard, G. B. Real Analysis, Wiley 1984. 2. Wheaden, R. L. & Zygmund, A. Measure and Integration, Marcel Dekker, 1977. 3. Rogers, C. A. Hausdorff Measure, Cambridge U. Press 1970.

習 題 40﹪ 期中考 30﹪ 期末考 30﹪