Perspectives in partial differential equations, harmonic analysis and applications : a volume in honor of Vladimir G. Maz'ya's 70th birthday

Bibliographic Information

Perspectives in partial differential equations, harmonic analysis and applications : a volume in honor of Vladimir G. Maz'ya's 70th birthday

Dorina Mitrea, Marius Mitrea, editors

(Proceedings of symposia in pure mathematics, v. 79)

American Mathematical Society, c2008

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Includes bibliographical references

Description and Table of Contents

Description

V. 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 unique collection of papers contributed on the occasion of Mazya's 70th birthday by a distinguished group of experts of international stature in the fields of Harmonic Analysis, Partial Differential Equations, Function Theory, Spectral Analysis, and History of Mathematics, reflecting the state of the art in these areas, in which Mazya himself has made some of his most significant contributions.

Table of Contents

Capacity, 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.

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