Around the Research of Vladimir Maz'ya III
The topics of this volume are diverse, but all of them are related to a huge area in analysis and applications where remarkably deep results and original approaches of Professor Maz'ya play a fundamental role. World-recognized experts present their new results covering, in particular, the following topics: Beurling's minimum principle, inverse hyperbolic problems, degenerate oblique derivative problems, the Lp-dissipativity connected with the Lp-contractivity of the generated semigroups, optimal control of a biharmonic obstacle problem sharp bilateral bounds of Green's function for the fractional Schrodinger operator, Bergman orthogonal polynomials, some class of singular integral operators, general Cwikel-Lieb-Rozenblum and Lieb-Thirring inequalities, the Laplace operator on domains with rough boundaries, integral and supremum operators, finite rank Toeplitz operators in the Bergman space, bounds on the resolvent of a non-selfadjoint pseudodifferential operator, the Faber-Krahn inequality, and some other topics.
Professor Maz'ya has received numerous awards for his outstanding contributions, in particular, the Humboldt Research Prize (1999), the Verdaguer Prize of the French Academy of Sciences (2003)He was elected to the Royal Society of Edinburgh (2001) and the Royal Swedish Academy of Sciences (2002)Several international conferences were organised for the occasion of his 60th birthdayThere are several collections of papers honored Prof. Maz'ya. Prof. Maz'ya published more than 20 monographs and more than 450 articles. The range of his interests is very wide and many of his results play a key role in many areas of analysis and PDEs.Nevertheless, the presented volume is absolutely different from all published books honored V. Maz'ya:It focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances, selected in relation to Mazy’as results.All the results are new and never published earlierThe mentioned collections present proceedings of conferences in honor of V. Maz'ya and contributors are participants of these conferences. In this volume contributors and contributions were selected in accordance with the main idea of the volume