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dc.contributor.authorChang, Der Chenen
dc.contributor.authorLi, Songxiaoen
dc.contributor.authorStević, Stevoen
dc.date.accessioned2020-05-01T20:13:44Z-
dc.date.available2020-05-01T20:13:44Z-
dc.date.issued2007-01-01en
dc.identifier.issn1027-5487en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/1667-
dc.description.abstractLet Dn be the unit polydisk and B be the unit ball in Cn respectively. In this paper, we extend the Cesàro operator to the unit polydisk and the unit ball. We prove that the generalized Cesàro operator, is bounded on the Hardy space Hp(Dn) and the mixed norm space, when 0 < q < ∞, p ∈ (0,1] and Re(bj +1) > Recj > 0, j = 1,...,n, or if 0 < q < ∞, p>1 and Re(bj+1) > Re cj ≥ 1, j=1,...,n. Here, and each μj, j ∈ {1,..., n} is a positive Borel measure on the interval [0, 1). We also introduce a new class of averaging integral operators Cb,cζ0 (the generalized Cesàro operators) on B and prove the boundedness of the operator on the Hardy space Hp(B), p ∈ (0, ∞), the mixed-norm space Ap,qμ(B), 0 < p, q < ∞ and the α-Bloch space, when α > 1. Finally, we study the boundedness and compactness of recently introduced Riemann-Stieltjes type operators Tg and Lg, from H∞ and Bergman type spaces to α-Bloch spaces and little α-Bloch spaces on B.en
dc.publisherMathematical Society of the Republic of China-
dc.relationNNSF China (No.10671115)-
dc.relationPhD Foundation (No.20060560002)-
dc.relationNSF of Guangdong Province (No. 06105648)-
dc.relation.ispartofTaiwanese Journal of Mathematicsen
dc.subjectBergman space | Bloch space | Boundedness | Cesàro operator | Compactness | Hardy space | Riemann-Stieltjes operatoren
dc.titleOn some integral operators on the unit polydisk and the unit ballen
dc.typeArticleen
dc.identifier.doi10.11650/twjm/1500404862en
dc.identifier.scopus2-s2.0-44149091705en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage1251en
dc.relation.lastpage1285en
dc.relation.issue5en
dc.relation.volume11en
dc.description.rankM23-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0002-7202-9764-
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