In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus; in addition, it deals with special approaches, such as subordination in the sense of Bochner. The second part handles capacities, function spaces associated with continuous negative definite functions, Lp -sub-Markovian semigroups in their associated Bessel potential spaces, Stein's Littlewood-Paley theory, global properties of Lp-sub-Markovian semigroups, and estimates for transition functions.
- ISBN13 9781860943249
- Publish Date 22 July 2002
- Publish Status Active
- Publish Country GB
- Imprint Imperial College Press
- Edition 2nd ed.
- Format Hardcover
- Pages 476
- Language English
- URL https://worldscientific.com/worldscibooks/10.1142/p264