Hausdorff measure, BMO, and analytic functions

DOI10.2140/PJM.1982.102.369zbMath0511.30001OpenAlexW2113493224MaRDI QIDQ1839061

Robert P. Kaufman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2140/pjm.1982.102.369

zbMATH Keywords

Hausdorff measurebounded mean oscillationBesicovitch's theorem on removable singularities

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Analytic continuation of functions of one complex variable (30B40)

Related Items (11)

Removable sets for homogeneous linear partial differential equations in Carnot groups ⋮ Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ The calculation of the \(L^2\)-norm of the index of a plane curve and related formulas ⋮ Removable singularities for analytic functions in the little Zygmund space ⋮ Boundary values of holomorphic distributions in negative Lipschitz classes ⋮ Bounded point derivations and functions of bounded mean oscillation ⋮ Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings ⋮ Removable singularities for weighted Bergman spaces ⋮ Unnamed Item ⋮ BMO Rational Approximation and One-Dimensional Hausdorff Content ⋮ Sharp nonremovability examples for Hölder continuous quasiregular mappings in the plane

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