The book focuses on a number of results and open problems dealing with a wide variety of isoperimetric inequalities. , this approach can be characterized by a recently coined term "sandwiches". A certain quantity is introduced, usually as a degree of approximation to a given simple function, e.g., z* , |x|^2, by either analytic or harmonic functions in some norm. Then, the estimates from below and above of the approximate distance are obtained in terms of simple geometric characteristics of the set, e.g., area, perimeter, capacity, etc. The resulting "sandwich" yields the isoperimetric inequality.
- ISBN10 1498756360
- ISBN13 9781498756365
- Publish Date 30 May 2023
- Publish Status Forthcoming
- Publish Country US
- Publisher Taylor & Francis Inc
- Imprint Productivity Press
- Format Hardcover
- Pages 304
- Language English