Symmetrization and harmonic measure

zbMath1180.31009MaRDI QIDQ733362

Dimitrios Betsakos

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1254403722

zbMATH Keywords

polarizationsymmetric stable processSteiner symmetrizationalpha-harmonic measure

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stable stochastic processes (60G52) Capacity and harmonic measure in the complex plane (30C85) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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Cites Work

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• Integral means, univalent functions and circular symmetrization
• Spherical rearrangements, subharmonic functions, and \(\ast\)-functions in \(n\)-space
• Martin boundary and integral representation for harmonic functions of symmetric stable processes
• Estimates on Green functions and Poisson kernels for symmetric stable processes
• Representation of \(a\)-harmonic functions in Lipschitz domains
• Capacities and geometric transformations of subsets in \(n\)-space
• Potential theory. An analytic and probabilistic approach to balayage
• Boundary Harnack principle for symmetric stable processes
• A Brascamp-Lieb-Luttinger–type inequality and applications to symmetric stable processes
• Harmonic measures for symmetric stable processes
• On some questions of uniqueness in the theory of symmetrization
• Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains
• The boundary Harnack principle for the fractional Laplacian
• Symmetrization, symmetric stable processes, and Riesz capacities
• Symmetrization in the geometric theory of functions of a complex variable
• An approach to symmetrization via polarization
• Some properties of α-harmonic measure
• Universal approximation of symmetrizations by polarizations

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