On an integral-type operator from Privalov spaces to Bloch-type spaces
Xiangling Zhu
Annales Polonici Mathematici, Tome 101 (2011), p. 139-147 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator Cφgf(z)=∫01ℜf(φ(tz))g(tz)dt/t, f ∈ H(B). The boundedness and compactness of Cφg from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280428 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-4,
     author = {Xiangling Zhu},
     title = {On an integral-type operator from Privalov spaces to Bloch-type spaces},
     journal = {Annales Polonici Mathematici},
     volume = {101},
     year = {2011},
     pages = {139-147},
     zbl = {1213.47036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-4}
}

Xiangling Zhu. On an integral-type operator from Privalov spaces to Bloch-type spaces. Annales Polonici Mathematici, Tome 101 (2011) pp. 139-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-4/