A certain class of Jensen measures for uniform algebras (Q1110045)
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scientific article; zbMATH DE number 4071670
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A certain class of Jensen measures for uniform algebras |
scientific article; zbMATH DE number 4071670 |
Statements
A certain class of Jensen measures for uniform algebras (English)
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1987
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For any uniform algebra A and any point q of the maximal ideal space of A there exists a Jensen measure \(\lambda\) for q carried on the Shilov boundary for A such that \(\lambda\) admits the generalized Brownian maximal function to each nonnegative A-subharmonic function in \(C_ R(X)\). The maximal function and its original function satisfy Doob's inequality, Burkholder-Gundy-Silverstein inequalities and Fefferman-Stein inequality.
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uniform algebra
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maximal ideal space
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Jensen measure
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Shilov boundary
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generalized Brownian maximal function
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A-subharmonic function
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Doob's inequality
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Burkholder-Gundy-Silverstein inequalities
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Fefferman-Stein inequality
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