On an integral-type operator from Privalov spaces to Bloch-type spaces
Annales Polonici Mathematici (2011)
- Volume: 101, Issue: 2, page 139-147
- ISSN: 0066-2216
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topXiangling Zhu. "On an integral-type operator from Privalov spaces to Bloch-type spaces." Annales Polonici Mathematici 101.2 (2011): 139-147. <http://eudml.org/doc/280428>.
@article{XianglingZhu2011,
abstract = {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
$C_φ^g f(z) = ∫_0^1 ℜf(φ(tz))g(tz) dt/t$, f ∈ H(B).
The boundedness and compactness of $C_φ^g$ from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied},
author = {Xiangling Zhu},
journal = {Annales Polonici Mathematici},
keywords = {integral-type operator; Privalov space; Bloch-type space; boundedness; compactness},
language = {eng},
number = {2},
pages = {139-147},
title = {On an integral-type operator from Privalov spaces to Bloch-type spaces},
url = {http://eudml.org/doc/280428},
volume = {101},
year = {2011},
}
TY - JOUR
AU - Xiangling Zhu
TI - On an integral-type operator from Privalov spaces to Bloch-type spaces
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 2
SP - 139
EP - 147
AB - 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
$C_φ^g f(z) = ∫_0^1 ℜf(φ(tz))g(tz) dt/t$, f ∈ H(B).
The boundedness and compactness of $C_φ^g$ from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied
LA - eng
KW - integral-type operator; Privalov space; Bloch-type space; boundedness; compactness
UR - http://eudml.org/doc/280428
ER -
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