Extremal configurations of certain problems on the capacity and harmonic measure

DOI10.1007/BF02358540zbMath0898.31002MaRDI QIDQ1376895

Alexander Yu. Solynin

Publication date: 16 February 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

harmonic measurecondenser capacityBaernstein *-function

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (6)

Conformal invariants and the angular derivative problem ⋮ Some Unsolved Problems About Condenser Capacities on the Plane ⋮ Estimates for the asymptotic convergence factor of two intervals ⋮ Heating long pipes ⋮ Two-sided bounds for the logarithmic capacity of multiple intervals ⋮ An upper bound for the logarithmic capacity of two intervals

Cites Work

• An extremal problem for certain subharmonic functions in the plane
• Radial averaging of domains, estimates for Dirichlet integrals and applications
• Geometric properties of extremal decompositions and estimates for the modulus of families of curves in an annulus
• On a problem concerning harmonic measure
• On some questions of uniqueness in the theory of symmetrization
• Symmetrization in the geometric theory of functions of a complex variable
• Properties of Conformal Invariants
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