Complex Interpolation with Derivatives of Analytic Functions
β Scribed by M. Fan; S. Kaijser
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 768 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
β¦ Synopsis
We develop the complex interpolation associated with derivatives of analytic functions such as the generalized CalderΓ³n's inequality, norm estimates for duality, interpolation of operators, and so on. The present interpolation is available for regular interpolation families. 1994 Acadtemic Press. Inc.
π SIMILAR VOLUMES
We show that complex mean-value interpolation, a generalization of Lagrange Hermite interpolation, may be defined in any domain that is C-convex, whereas the original definition required ordinary, real convexity. We also show that C-convex domains are the natural ones in which to perform mean-value
From (1) it follows that y ( z ) has in zk a zero of order not less than vk . Since y ( z ) is holomorphic in the neighborhood of every point of %'K (including z = a), it follows from Hypothesis 6, that y ( z ) vanishes identically in VK. On the other hand, we have for large IzJ of 5. 1 We say tha