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072 7 _aPBK
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072 7 _aMAT034000
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245 1 0 _aTbilisi Analysis and PDE Seminar
_h[electronic resource] :
_bExtended Abstracts of the 2020-2023 Seminar Talks /
_cedited by Roland Duduchava, Eugene Shargorodsky, George Tephnadze.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aVIII, 218 p. 11 illus., 5 illus. in color.
_bonline resource.
336 _atext
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337 _acomputer
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338 _aonline resource
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347 _atext file
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490 1 _aResearch Perspectives Ghent Analysis and PDE Center,
_x2948-1732 ;
_v7
505 0 _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(·) -- On unconditional convergence of Fourier series with respect to general orthonormal systems.
520 _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.
650 0 _aMathematical analysis.
_964178
650 0 _aDifferential equations.
650 0 _aIntegral equations.
650 1 4 _aAnalysis.
650 2 4 _aDifferential Equations.
650 2 4 _aIntegral Equations.
700 1 _aDuduchava, Roland.
_eeditor.
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700 1 _aShargorodsky, Eugene.
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700 1 _aTephnadze, George.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
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776 0 8 _iPrinted edition:
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830 0 _aResearch Perspectives Ghent Analysis and PDE Center,
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_v7
_971936
856 4 0 _uhttps://doi.org/10.1007/978-3-031-62894-8
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