A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures

作者：Paszkiewicz Adam^*

来源：Inventiones Mathematicae, 2010, 180(1): 55-110.

DOI：10.1007/s00222-009-0226-2

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.

• 出版日期2010-4