Differentiability of Six Operators on Nonsmooth Functions and p-Variation by R. Norvaisa

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Differentiability of Six Operators on Nonsmooth Functions and p-Variation (Lecture Notes in Mathematics) by R. Norvaisa
English | 21 Jun. 1999 | ISBN: 3540659757 | 279 Pages | PDF | 4 MB

The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds.