ON WEIGHTED ZORKO SUBSPACES AND RIESZ TYPE THEOREMS FOR ANALYTIC FUNCTIONS
Keywords:
Morrey space, Riesz theorem, Hardy classesAbstract
In this paper the weighted Morrey space is considered on the interval , and its Zorko subspace, in which the shift operator is continuous, is defined. Some properties of the functions from this subspace are studied. Moreover, a new version of the Riesz theorem on analytic functions from Hardy class is established.