Title: PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES, VOLUME II: GENERATORS AND THEIR POTENTIAL THEORY
Publisher: Imperial College Pr
Publication Date: 2002
Language: English
ISBN 10: 1860943241
ISBN 13: 9781860943249
Binding: Hardcover
Edition: 2nd Edition
Condition: New

About this title

Synopsis

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.