Distribution function inequalities for the density of the area integral (Q803463)
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scientific article; zbMATH DE number 4200893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution function inequalities for the density of the area integral |
scientific article; zbMATH DE number 4200893 |
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Distribution function inequalities for the density of the area integral (English)
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1991
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We prove good-\(\lambda\) inequalities for the area integral, the nontangential maximal function, and the maximal density of the area integral. This answers a question raised by R. F. Gundy. We also prove a Kesten type law of the iterated logarithm for harmonic functions. Our Theorems 1 and 2 are for Lipschitz domains. However, all our results are new even in the case of \({\mathbb{R}}^ 2_+\).
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distribution function inequalities
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local time
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good-\(\lambda \) inequalities
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area integral
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nontangential
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maximal function
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maximal density
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iterated logarithm for harmonic functions
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