DC Field | Value | Language |
---|---|---|
dc.contributor.author | Stević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:13:44Z | - |
dc.date.available | 2020-05-01T20:13:44Z | - |
dc.date.issued | 2006-12-01 | en |
dc.identifier.issn | 0019-5588 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/1670 | - |
dc.description.abstract | We study operators of the form Tg(f)(z)= ∫0z1 ⋯ ∫0zn f(ζ1,..., ζn)g(ζ1,...ζn) ∏i=1n dζj where g is a fixed holomorphic function on the unit polydisc Un, on the space S α→(Un) defined by S α→(Un) = {f ∈ H(Un)|sup z∈Un|f(z)|∏j=1n(1-|z j|)αj < ∞}, where α = (α1, ⋯, αn), αj > 0, j = 1, ⋯, n. It is shown that the operator Tg is bounded on Sα→(Un) if and only if supz∈Un ∏j=1n(1 - |zj|)|g(z)| < ∞, and compact if and only if lim z→∂Un ∏j=1n(1 - |zj|)|g(z)| = 0. Also, we give a necessary and sufficient condition for a holomorphic function on the polydisc to be a p-Bloch function, when p ∈ [1, 2). | en |
dc.publisher | Indian National Science Academy | - |
dc.relation.ispartof | Indian Journal of Pure and Applied Mathematics | en |
dc.subject | Boundedness | Compactness | Holomorphic function | Integral operator | p-Bloch space | Polydisc | en |
dc.title | Boundedness and compactness of an integral operator on a weighted space on the polydisc | en |
dc.type | Article | en |
dc.identifier.scopus | 2-s2.0-34247492076 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 343 | en |
dc.relation.lastpage | 355 | en |
dc.relation.issue | 6 | en |
dc.relation.volume | 37 | en |
dc.description.rank | M23 | - |
item.fulltext | No Fulltext | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.orcid | 0000-0002-7202-9764 | - |
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