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.
A. Cialdea, The scientific work of Vladimir Mazya.- E. Afanaseva and
A. Golberg, Topological mappings of finite area distortion.- A. Alberico, A.
Cianchi, L. Pick, and L. Slavķkovį, 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. Goldshtein, 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. Mazya, 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.