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摘要
Yanni Chen [3] extended the classical Beurling-Helson-Lowdenslager theorem for Hardy spaces on the unit circle T defined in terms of continuous gauge norms on L-infinity that dominate parallel to . parallel to(1). We extend Chen's result to a much larger class of continuous gauge norms. A key ingredient is our result that if alpha is a continuous normalized gauge norm on L-infinity, then there is a probability measure lambda, mutually absolutely continuous with respect to Lebesgue measure on T, such that alpha >= parallel to . parallel to(1 lambda) for some 0 < c <= 1.
- 出版日期2018-3
