Publicação
Mixed norm Bergman-Morrey-type spaces on the unit disc
| dc.contributor.author | Samko, Stefan | |
| dc.contributor.author | Karapetyants, A. N. | |
| dc.date.accessioned | 2017-04-07T15:56:24Z | |
| dc.date.available | 2017-04-07T15:56:24Z | |
| dc.date.issued | 2016-07 | |
| dc.description.abstract | We introduce and study the mixed-norm Bergman-Morrey space A (q;p,lambda) , mixednorm Bergman-Morrey space of local type A (loc) (q;p,lambda) , and mixed-norm Bergman-Morrey space of complementary type (C) A (q;p,lambda) on the unit disk D in the complex plane C. Themixed norm Lebesgue-Morrey space L (q;p,lambda) is defined by the requirement that the sequence of Morrey L (p,lambda)(I)-norms of the Fourier coefficients of a function f belongs to l (q) (I = (0, 1)). Then, A (q;p,lambda) is defined as the subspace of analytic functions in L (q;p,lambda) . Two other spaces A q;p,lambda loc and (C) A (q;p,lambda) are defined similarly by using the local Morrey L (loc) (p,lambda) (I)-norm and the complementary Morrey (C) L (p,lambda)(I)-norm respectively. The introduced spaces inherit features of both Bergman and Morrey spaces and, therefore, we call them Bergman-Morrey-type spaces. We prove the boundedness of the Bergman projection and reveal some facts on equivalent description of these spaces. | |
| dc.identifier.doi | 10.1134/S000143461607004X | |
| dc.identifier.issn | 0001-4346 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/9403 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | MAIK Nauka/Interperiodica | |
| dc.relation.isbasedon | WOS:000382193300004 | |
| dc.subject | Bergman–Morrey-type space | |
| dc.subject | Mixed norm | |
| dc.title | Mixed norm Bergman-Morrey-type spaces on the unit disc | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 48 | |
| oaire.citation.issue | 1-2 | |
| oaire.citation.startPage | 38 | |
| oaire.citation.title | Mathematical Notes | |
| oaire.citation.volume | 100 | |
| person.familyName | Samko | |
| person.givenName | Stefan | |
| person.identifier.orcid | 0000-0002-8022-2863 | |
| person.identifier.rid | M-3726-2013 | |
| person.identifier.scopus-author-id | 6603416048 | |
| rcaap.rights | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 |
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