Radial rearrangement, harmonic measures and extensions of Beurling's shove theorem
DOI10.1007/BF02384833zbMath1035.31003OpenAlexW2025541661MaRDI QIDQ1426902
Publication date: 15 March 2004
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02384833
Brownian motionDirichlet spacecircular symmetrizationSteiner symmetrizationcircular symmetryharmonic measuresstar-shaped domainsChang-Marshall inequalityBaernstein's \(*\)-functionBeurling's shove theoremEssén inequalityleast harmonic majorantsradial rearrangement
Brownian motion (60J65) Capacity and harmonic measure in the complex plane (30C85) Connections of harmonic functions with differential equations in higher dimensions (31B35) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
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Cites Work
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- Sharp estimates of uniform harmonic majorants in the plane
- A new proof of a sharp inequality concerning the Dirichlet integral
- One-dimensional random walks, decreasing rearrangements and discrete Steiner symmetrization
- Rearrangements and convexity of level sets in PDE
- Integral means, univalent functions and circular symmetrization
- Exit times of Brownian motion, harmonic majorization, and Hardy spaces
- Extremal functions and the Chang-Marshall inequality
- The size of the set where a univalent function is large
- Radial rearrangement, harmonic measures and extensions of Beurling's shove theorem
- A nonlinear functional on the Dirichlet space
- Transformations of domains in the plane and applications in the theory of functions
- Harmonic Majorization and Classical Analysis
- On a Sharp Inequality Concerning the Dirichlet Integral
- On beurling's theorem for harmonic measure and the rings of saturn
- An extremal property of meromorphic functions withn–fold symmetry
- Steiner symmetry, horizontal convexity and some Dirichlet problems
- Isoperimetric Inequalities for the Least Harmonic Majorant of | x | p
- Image Areas and H 2 Norms of Analytic Functions
- Properties of extremal functions for some nonlinear functionals on Dirichlet spaces
- Three counterexamples for a question concerning Green’s functions and circular symmetrization
- Some Theorems on the cosπλ Inequality
- Estimates of harmonic measures
