This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.
| Autorius: | Brian Street |
| Leidėjas: | Princeton University Press |
| Išleidimo metai: | 2014 |
| Knygos puslapių skaičius: | 412 |
| ISBN-10: | 0691162522 |
| ISBN-13: | 9780691162522 |
| Formatas: | 234 x 156 x 22 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Multi-parameter Singular Integrals, Volume I“
