A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
成果类型：
Article
署名作者：
Paszkiewicz, Adam
署名单位：
University of Lodz
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-009-0226-2
发表日期：
2010
页码：
55-110
关键词：
摘要：
We characterize sequences of numbers (a (n) ) such that a (na parts per thousand yen1) a (n) I broken vertical bar (n) converges a.e. for any orthonormal system (I broken vertical bar (n) ) in any L (2)-space. In our criteria we use the set A={a (ma parts per thousand yenn|)|a (m) |(2);na parts per thousand yen1}, majorizing measures on A, and new descriptions of the complexity of A.
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