04549nam a22005655i 4500 978-3-031-62894-8 DE-He213 20251030112902.0 cr nn 008mamaa 240821s2024 sz | s |||| 0|eng d 9783031628948 978-3-031-62894-8 10.1007/978-3-031-62894-8 doi QA299.6-433 PBK bicssc MAT034000 bisacsh PBK thema Tbilisi Analysis and PDE Seminar [electronic resource] : Extended Abstracts of the 2020-2023 Seminar Talks / edited by Roland Duduchava, Eugene Shargorodsky, George Tephnadze. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. VIII, 218 p. 11 illus., 5 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 7 - 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. The aim of this volume is to present some new developments and ideas in partial differential equations and mathematical analysis, including spectral analysis and boundary value problems for PDE, harmonic analysis, inequalities, integral equations, and applications. This book is a collection of short summaries of reports from lectures delivered at Tbilisi Analysis & PDE seminars and workshops. In particular, it contains some applications and several open questions aimed at inspiring further research. The volume contains 21 research articles. Mathematical analysis. 64178 Differential equations. Integral equations. Analysis. Differential Equations. Integral Equations. Duduchava, Roland. editor. edt http://id.loc.gov/vocabulary/relators/edt 82617 Shargorodsky, Eugene. editor. edt http://id.loc.gov/vocabulary/relators/edt 82618 Tephnadze, George. editor. edt http://id.loc.gov/vocabulary/relators/edt 82619 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031628931 Printed edition: 9783031628955 Printed edition: 9783031628962 Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 7 71936 https://doi.org/10.1007/978-3-031-62894-8 ZDB-2-SMA ZDB-2-SXMS 62602 62602