幂权Beurling代数上的次线性算子

SUBLINEAR OPERATORS ON THE BEURLING ALGEBRAS WITH POWER WEIGHTS

建立了Ｂｅｕｒｌｉｎｇ代数的分解特征．这个特征被用来对一大类次线性算子建立它们在幂权Ｂｅｕｒｌｉｎｇ代数上的有界性质，而对于无权情形此结论却不成立．

A decomposition characterization of the Beurling algebras is established, and this characterization is applied to set up boundedness on the Beurling algebras with power weights for a large class of sublinear operators which are unbounded on the unweighted Beurling algebras.