Subharmonic functions and Hausdorff measure
β Scribed by Victor L Shapiro
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 803 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We characterize in terms of Hausdorff measures and descriptive complexity subsets M Δ± R which are (1) the image under some C n function f of the set of points where derivatives of first n orders are zero, (2) the set of points where the level sets of some C n function are perfect, and (3) the set
To begin, we consider the following example. Fix a value e E (0, l/2). Let g be the piecewise linear map shown in Fig. 1, where A is chosen so that l/2 is a super stable periodic point of period 3,1> l/2, and g(n) < l/2 (it is known [2, 3, 25, 261 that, given an e, such a II exists). Thus, under it