Harmonic Analysis and Partial Differential Equations

Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Honors the many mathematical achievements of Vladimir Maz'ya Features contributions from distinguished mathematicians Explores the latest developments in analysis and mathematical physics

Inhalt

A. Cialdea, The scientific work of Vladimir Maz'ya.- E. Afanas'eva and A. Golberg, Topological mappings of finite area distortion.- A. Alberico, A. Cianchi, L. Pick, and L. Slavíková, On fractional OrliczSobolev spaces.- C. De Filippis and G. Mingione, Interpolative gap bounds for nonautonomous integrals.- R. Kr. Giri and Y. Pinchover, Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space.- V. Gol'dshtein, R. Hurri-Syrjänen, V. Pchelintsev, and A. Ukhlov, Space quasiconformal composition operators with applications to Neumann eigenvalues.- S. L. Krushkai, Teichmüller spaces and coefficient problems for univalent holomorphic functions.- N. V. Krylov, A review of some new results in the theory of linear elliptic equations with drift in L_d.- F. Lanzara, V. Maz'ya, and G. Schmidt, Fast computation of elastic and hydrodynamic potentials using approximate approximations.- A. Laptev and T. Weth, SpectralProperties of the logarithmic Laplacian.- E. Liflyand, L^1 Convergence of Fourier transforms.- D. Mitrea, I. Mitrea, and M. Mitrea, Failure of Fredholm solvability for the Dirichlet problem corresponding to weakly elliptic systems.- G. Seregin, Local regularity of axisymmetric solutions to the NavierStokes equations.- D. Shoikhet, Nonlinear resolvent and rigidity of holomorphic mappings.- Y. Yomdin, "Smooth rigidity" and Remez-type inequalities.