Pseudo Differential Operators And Markov Processes, Volume Ii: Generators And Their Potential Theory

Jacob, Niels

ISBN 10: 1860943241 / ISBN 13: 9781860943249

Published by Imperial College Press, 2002

About this Item

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.

Seller Inventory # LU-9781860943249

Bibliographic Details

• Title: Pseudo Differential Operators And Markov Processes, Volume Ii: Generators And Their Potential Theory
• Publisher: Imperial College Press
• Publication Date: 2002
• Language: English
• ISBN 10: 1860943241
• ISBN 13: 9781860943249
• Binding: Hardback
• Edition: 2nd ed.
• Condition: New

About this title

Synopsis

In this volume two topics are discussed: the construction of Feller and L^p–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, L^p –sub-Markovian semigroups in their associated Bessel potential spaces, Stein's Littlewood–Paley theory, global properties of L^p–sub-Markovian semigroups, and estimates for transition functions.

Review

"... this book is clearly written; theorems and propositions are well formulated and, if not proved, very adequate references are given." Mathematical Reviews, 2003