DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Songxiao | en |
dc.contributor.author | Stević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:13:41Z | - |
dc.date.available | 2020-05-01T20:13:41Z | - |
dc.date.issued | 2007-07-02 | en |
dc.identifier.issn | 1085-3375 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/1646 | - |
dc.description.abstract | Let Dn be the unit polydisc of n, φ(z)=( φ1 (z),...,φn (z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn . Let H( Dn) denote the space of all holomorphic functions with domain Dn, H∞ ( Dn) the space of all bounded holomorphic functions on Dn, and B( Dn) the Bloch space, that is, B( Dn)={ f∈H( Dn) |||f|| B =| f(0) |+ sup z∈Dn ∑ k=1 n | (∂f/ ∂zk)(z) | ( 1- | zk | 2)<+∞ } . We give necessary and sufficient conditions for the weighted composition operator ψCφ induced by φ(z) and ψ(z) to be bounded and compact from H∞ ( Dn) to the Bloch space B( Dn). | en |
dc.publisher | Hindawi | - |
dc.relation | NNSF of China (no.10671115) | - |
dc.relation | PhD Foundation (no. 20060560002) | - |
dc.relation | NSF of Guangdong Province (no. 06105648) | - |
dc.relation.ispartof | Abstract and Applied Analysis | en |
dc.title | Weighted composition operators from H∞ to the bloch space on the polydisc | en |
dc.type | Article | en |
dc.identifier.doi | 10.1155/2007/48478 | en |
dc.identifier.scopus | 2-s2.0-34250898573 | en |
dc.identifier.url | http://downloads.hindawi.com/journals/aaa/2007/048478.pdf | - |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.volume | 2007 | en |
dc.description.rank | M23 | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0002-7202-9764 | - |
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