Publication
Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
| dc.contributor.author | Karapetyants, Alexey | |
| dc.contributor.author | Samko, Stefan | |
| dc.date.accessioned | 2018-12-07T14:58:03Z | |
| dc.date.available | 2018-12-07T14:58:03Z | |
| dc.date.issued | 2017-10 | |
| dc.description.abstract | The aim of the paper is twofold. First, we present a new general approach to the definition of a class of mixed norm spaces of analytic functions A(q;X)(D), 1 <= q < infinity on the unit disc D. We study a problem of boundedness of Bergman projection in this general setting. Second, we apply this general approach for the new concrete cases when X is either Orlicz space or generalized Morrey space, or generalized complementary Morrey space. In general, such introduced spaces are the spaces of functions which are in a sense the generalized Hadamard type derivatives of analytic functions having l(q) summable Taylor coefficients. | |
| dc.description.sponsorship | Russian Fund of Basic Research [15-01-02732]; SFEDU grant [07/2017-31] | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.1515/fca-2017-0059 | |
| dc.identifier.issn | 1311-0454 | |
| dc.identifier.issn | 1314-2224 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/11832 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Walter De Gruyter Gmbh | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Bergman projections | |
| dc.subject | Unit Disc | |
| dc.subject | Operators | |
| dc.subject | Inequalities | |
| dc.subject | Boundedness | |
| dc.subject | Duality | |
| dc.title | Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Bulgarian Acad Sci, Inst Math & Informat, Sofia, BULGARIA | |
| oaire.citation.endPage | 1130 | |
| oaire.citation.issue | 5 | |
| oaire.citation.startPage | 1106 | |
| oaire.citation.title | Fractional Calculus and Applied Analysis | |
| oaire.citation.title | 8Th International Conference on Transform Methods and Special Function (Tmsf) | |
| oaire.citation.volume | 20 | |
| 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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