A certain class of Jensen measures for uniform algebras |
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| Authors: | Cho-Ichiro Matsuoka |
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| Institution: | (1) Faculty of Engineering, Doshisha University, 602 Kyoto, Japan |
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| Abstract: | For any uniform algebraA and any pointq of the maximal ideal space ofA there exists a Jensen measureλ forq carried on the Shilov boundary forA such thatλ admits the generalized Brownian maximal function to each nonnegativeA-subharmonic function inC
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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| Keywords: | |
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