Tbilisi Analysis and PDE Seminar

Roland Duduchava is a professor of mathematics, the director of the Institute of Mathematics and the head of the PhD program “Applied Mathematics”  at the University of Georgia.Eugene Shargorodsky is a professor of mathematics at King’s College London.George Tephnadze is a scientific fellow at the Institute of Mathematics and the head of the master’s program “Pure and Applied Mathematics” at the University of Georgia, Georgia.

• - Continuous inequalities: introduction, examples and related topics.- Approximation by Vilenkin-Nörlund Means in Lebesgue Spaces.- On Divergence of Fejér Means with Respect to Walsh System on sets of Measure Zero.- Martingale Hardy Spaces and Some Maximal Operators Associated with Walsh- Fejér Means.- Generic Bessel potential spaces on Lie groups.- The finite Hilbert transform acting in rearrangement invariant spaces on (−1, 1).- The Banach Gelfand triple and its role in classical Fourier analysis and operator theory.- A note on a frictional unilateral contact problem in nonlinear elasticity.- Maximal noncompactness of singular integral operators on Lp spaces with power weights.- A remark on piecewise linear interpolation of continuous Fourier multipliers.- Banach algebras of convolution type operators with PQC data.- Integrability and convergence of trigonometric series and Fourier transforms.- Commutators of Calderón–Zygmund Operators in Grand Variable Exponent Morrey Spaces, and Applications to PDEs.- Symmetric Stein–Tomas, and why do we care?.- On Solonnikov parabolicity of the evolution anisotropic Stokes and Oseen PDE systems.- On Convergence and Divergence of Fourier Series and Fejér Means with Applications to Lebesgue and Vilenkin-Lebesgue Points.- On generalized sharpness of some Hardy-type inequalities.- Interaction problems for n-dimensional Dirac operators with singular potentials.- Convergence and summability in classical and martingale Hardy spaces.- Modulus of Continuity and Convergence of Fejér Means of Vilenkin-Fourier Series in the Variable Martingale Hardy Space Hp(·).- On unconditional convergence of Fourier series with respect to general orthonormal systems.