Karapetyants, AlexeySamko, Stefan2025-02-272025-02-272024-120001-4346http://hdl.handle.net/10400.1/26830We show that grand spaces of holomorphic functions may be equivalently defined in terms of aggrandization related only to the boundary. We base ourselves on recent studies of the so-called local aggrandization of Lebesgue spaces and extent this approach to the case of arbitrary Banach spaces of functions on metric spaces. We apply this approach to prove, in the case of Bergman and Bergman-Morrey spaces on the unit disk, that these grand spaces may be equivalently defined as grand spaces with weighted aggrandization on the boundary.engAggrandization of spacesSpaces of holomorphic functionsGrand lebesgue and morrey type spacesjournal article10.1134/s000143462411035x1573-8876