Please use this identifier to cite or link to this item:
https://research.matf.bg.ac.rs/handle/123456789/558
DC Field | Value | Language |
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dc.contributor.author | Melentijević, Petar | en_US |
dc.date.accessioned | 2022-08-13T10:40:01Z | - |
dc.date.available | 2022-08-13T10:40:01Z | - |
dc.date.issued | 2018-01-01 | - |
dc.identifier.issn | 1239629X | en |
dc.identifier.uri | https://research.matf.bg.ac.rs/handle/123456789/558 | - |
dc.description.abstract | In this paper we prove a refinement of Schwarz's lemma for holomorphic mappings from the unit ball Bn ⊂ Cn to the unit disk D ⊂ C obtained by Kalaj in [3]. We also give some corollaries of this result and a similar result for pluriharmonic functions. In particular, we give an improvement of Schwarz's lemma for non-vanishing holomorphic functions from Bn to D that was obtained in a recent paper by Dyakonov [2]. Finally, we give a new and short proof of Markovic's theorem on contractivity of harmonic mappings from the upper half-plane H to the positive reals. The same result does not hold for higher dimensions, as is shown by given counterexamples. | en |
dc.relation.ispartof | Annales Academiae Scientiarum Fennicae Mathematica | en |
dc.subject | Bergman distance | en |
dc.subject | Harnack's inequality | en |
dc.subject | Hyperbolic distance | en |
dc.subject | M-invariant gradient | en |
dc.subject | Schwarz's lemma | en |
dc.title | Invariant gradient in refinements of Schwarz and Harnack inequalities | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.5186/aasfm.2018.4324 | - |
dc.identifier.scopus | 2-s2.0-85042869296 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85042869296 | - |
dc.contributor.affiliation | Real and Functional Analysis | en_US |
dc.relation.firstpage | 391 | en |
dc.relation.lastpage | 399 | en |
dc.relation.volume | 43 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.openairetype | Article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Real and Functional Analysis | - |
crisitem.author.orcid | 0000-0003-4343-7459 | - |
Appears in Collections: | Research outputs |
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