The lower bound in the law of the iterated logarithm for harmonic functions

DOI10.1215/S0012-7094-90-06028-4zbMath0718.60027OpenAlexW1502214412MaRDI QIDQ2639410

Charles N. Moore, Rodrigo Bañuelos, Ivo Klemeš

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06028-4

zbMATH Keywords

harmonic functionslaw of iterated logarithm for martingales

Mathematics Subject Classification ID

Strong limit theorems (60F15) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (1)

Subgaussian estimates in probability and harmonic analysis

Cites Work

• An analogue for harmonic functions of Kolmogorov's law of the iterated logarithm
• Good λ inequalities for the area integral and the nontangential maximal function
• Variants on the Law of the Iterated Logarithm
• The Law of the Iterated Logarithm for Lacunary Trigonometric Series
• Distribution function inequalities for the area integral
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