Franziska Kühn

Often it is more instructive to know 'what can go wrong' and to understand 'why a result fails' than to plod through yet another piece of theory. In this text, the authors gather more than 300 counterexamples - some of them both surprising and amusing - showing the limitations, hidden traps and pitfalls of measure and integration. Many examples are put into context, explaining relevant parts of the theory, and pointing out further reading. The text starts with a self-contained, non-technical overview on the fundamentals of measure and integration. A companion to the successful undergraduate textbook Measures, Integrals and Martingales, it is accessible to advanced undergraduate students, requiring only modest prerequisites. More specialized concepts are summarized at the beginning of each chapter, allowing for self-study as well as supplementary reading for any course covering measures and integrals. For researchers, it provides ample examples and warnings as to the limitations of general measure theory. This book forms a sister volume to René Schilling's other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243).

Often it is more instructive to know 'what can go wrong' and to understand 'why a result fails' than to plod through yet another piece of theory. In this text, the authors gather more than 300 counterexamples - some of them both surprising and amusing - showing the limitations, hidden traps and pitfalls of measure and integration. Many examples are put into context, explaining relevant parts of the theory, and pointing out further reading. The text starts with a self-contained, non-technical overview on the fundamentals of measure and integration. A companion to the successful undergraduate textbook Measures, Integrals and Martingales, it is accessible to advanced undergraduate students, requiring only modest prerequisites. More specialized concepts are summarized at the beginning of each chapter, allowing for self-study as well as supplementary reading for any course covering measures and integrals. For researchers, it provides ample examples and warnings as to the limitations of general measure theory. This book forms a sister volume to René Schilling's other book Measures, Integrals and Martingales (www.cambridge.org/9781316620243).

Im Wege einer Reform des Partnerschaftsgesellschaftsgesetzes wurde im Juli 2013 die Partnerschaftsgesellschaft mit beschränkter Berufshaftung als spezielle Rechtsform für Angehörige freier Berufe eingeführt. Ziel des Gesetzesgebers war es, das bekannte Modell der Partnerschaftsgesellschaft so zu modifizieren, dass es als attraktive Gesellschaftsform gegenüber der englischen LLP konkurrenzfähig ist. Hintergrund ist der aufgrund der Gründungstheorie innerhalb der Europäischen Union vorherrschende Wettbewerb der Gesellschaftsformen. Franziska Kühn überprüft kritisch den gesetzgeberischen Anspruch, indem sie aus der Perspektive von Freiberuflern die für die Rechtsformwahl entscheidungserheblichen Kriterien untersucht. Zur praktischen Handreichung werden die Gründung sowie der Betrieb einer Sozietät in den Fokus gestellt, wobei ein besonderer Schwerpunkt auf dem Aspekt der vorzuhaltenden Berufshaftpflichtversicherung liegt. Die Autorin zeigt hierbei bestehende Problemfelder und Defizite auf.

Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic differential equations with Hölder continuous coefficients. Moreover, necessary and sufficient conditions for the existence of moments of Lévy-type processes are studied and some estimates on moments are derived. Lévy-type processes behave locally like Lévy processes but, in contrast to Lévy processes, they are not homogeneous in space. Typical examples are processes with varying index of stability and solutions of Lévy-driven stochastic differential equations.This is the sixth volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applicationsof Lévy processes and pays tribute to the state of the art of this rapidly evolving subject, with special emphasis on the non-Brownian world.