LEADER 04298nam 22005895 450 001 9910881100603321 005 20240821130239.0 010 $a9783031628948$b(electronic bk.) 010 $z9783031628931 024 7 $a10.1007/978-3-031-62894-8 035 $a(MiAaPQ)EBC31608960 035 $a(Au-PeEL)EBL31608960 035 $a(CKB)34118596800041 035 $a(DE-He213)978-3-031-62894-8 035 $a(EXLCZ)9934118596800041 100 $a20240821d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTbilisi Analysis and PDE Seminar $eExtended Abstracts of the 2020-2023 Seminar Talks /$fedited by Roland Duduchava, Eugene Shargorodsky, George Tephnadze 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2024. 215 $a1 online resource (213 pages) 225 1 $aResearch Perspectives Ghent Analysis and PDE Center,$x2948-1732 ;$v7 311 08$aPrint version: Duduchava, Roland Tbilisi Analysis and PDE Seminar Cham : Springer Basel AG,c2024 9783031628931 327 $a- 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(ˇ) -- On unconditional convergence of Fourier series with respect to general orthonormal systems. 330 $aThe aim of this volume is to present some new developments and ideas in partial differential equations and mathematical analysis, including spectral analysis and boundary value problems for PDE, harmonic analysis, inequalities, integral equations, and applications. This book is a collection of short summaries of reports from lectures delivered at Tbilisi Analysis & PDE seminars and workshops. In particular, it contains some applications and several open questions aimed at inspiring further research. The volume contains 21 research articles. 410 0$aResearch Perspectives Ghent Analysis and PDE Center,$x2948-1732 ;$v7 606 $aMathematical analysis 606 $aDifferential equations 606 $aIntegral equations 606 $aAnalysis 606 $aDifferential Equations 606 $aIntegral Equations 615 0$aMathematical analysis. 615 0$aDifferential equations. 615 0$aIntegral equations. 615 14$aAnalysis. 615 24$aDifferential Equations. 615 24$aIntegral Equations. 676 $a515 700 $aDuduchava$b Roland$055002 701 $aShargorodsky$b Eugene$01765670 701 $aTephnadze$b George$01738591 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910881100603321 996 $aTbilisi Analysis and PDE Seminar$94207503 997 $aUNINA