Description
Book SynopsisV G Mazya is widely regarded as a truly outstanding mathematician, whose work spans 50 years and covers many areas of mathematical analysis. This volume contains a collection of papers contributed on the occasion of Mazya's 70th birthday by a group of experts in the fields of Harmonic Analysis, Partial Differential Equations, and Function Theory.
Table of ContentsCapacity, Carleson measures, boundary convergence, and exceptional sets by N. Arcozzi, R. Rochberg, and E. Sawyer On the absence of dynamical localization in higher dimensional random Schrodinger operators by J. Bourgain Circulation integrals and critical Sobolev spaces: Problems of optimal constants by H. Brezis and J. Van Schaftingen Mutual absolute continuity of harmonic and surface measures for Hormander type operators by L. Capogna, N. Garofalo, and D.-M. Nhieu Soviet-Russian and Swedish mathematical contacts after the war. A personal account by L. Garding Generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrodinger operators on bounded Lipschitz domains by F. Gesztesy and M. Mitrea A local $Tb$ theorem for square functions by S. Hofmann Partial differential equations, trigonometric series, and the concept of function around 1800: A brief story about Lagrange and Fourier by J.-P. Kahane Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle by C. E. Kenig Boundary Harnack inequalities for operators of $p$-Laplace type in Reifenberg flat domains by J. L. Lewis, N. Lundstrom, and K. Nystrom Waves on a steady stream with vorticity by M. Lilli and J. F. Toland On analytic capacity of portions of continuum and a question of T. Murai by F. Nazarov and A. Volberg The Christoffel-Darboux kernel by B. Simon A saint-Venant principle for Lipschitz cylinders by M. E. Taylor Wavelets in function spaces by H. Triebel Weighted norm inequalities with positive and indefinite weights by I. E. Verbitsky The mixed problem for harmonic functions in polyhedra of $|mathbb{R}^3$ by M. Venouziou and G. C. Verchota.
