An integral-type operator from the minimal Mobius invariant space into the Bloch type space

ZHAO Xian-hao; LIANG Yu-xia

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Jul. 2014

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Article Navigation > Journal of East China Normal University (Natural Sciences) > 2014 > (3): 45-50，59

ZHAO Xian-hao, LIANG Yu-xia. An integral-type operator from the minimal Mobius invariant space into the Bloch type space[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 45-50，59.

Citation:

ZHAO Xian-hao, LIANG Yu-xia. An integral-type operator from the minimal Mobius invariant space into the Bloch type space[J]. Journal of East China Normal University (Natural Sciences), 2014, (3): 45-50，59.

Citation:

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An integral-type operator from the minimal Mobius invariant space into the Bloch type space

1.
Institute of Sciences, Tianjin University, Tianjin 300072, China

Received Date: 2013-05-01
Rev Recd Date: 2013-08-01
Publish Date: 2014-05-25

Abstract

Abstract

By using analysis methods and constructing test functions we obtained some new equivalent conditions for the boundedness and compactness of the integral-type operator $C_\varphi ^g $ from the minimal M$\ddot{\rm o}$bius invariant space into the Bloch-type space. These equivalent conditions give perfect characterizations of $C_\varphi ^g $, which also provide good reference for the study of other integral-type operators.
- Mobius invariant space,
- Bloch-type space,
- integral-type operator

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References(1)

References

{[1]} ZHU K H. Spaces of Holomorphic Functions in the Unit Ball[M]. New York: Springer, 2004.

{[2]} COLONNA F, LI S X. Weighted composition operators from the minimal Mobius invariant space into the Bloch space[J]. Mediterr J Math, DOI 10. 1007/s00009-012-0182-8.
{[3]} LI S X. weighted composition operators from Minimal Mobius invariant spaces to Zygmund spaces[J]. Filomat, 2013(2): 269-277.
{[4]} YAMASHITA S. Gap series and $\alpha $-Bloch functions[J]. Yokohama Math J, 1980, 28: 31-36.
{[5]} LI S X, STEVIC' S. Generalized composition operators on Zygmund spaces and Bloch type spaces[J]. Math Anal Appl, 2008, 338: 1282-1295.
{[6]} LI S X, STEVIC` S. Products of integral-type operators and composition operators between Bloch-type spaces[J]. Math Anal Appl, 2009, 349: 596-610.
{[7]} COWEN C C, MACCLUER B D. Composition Operators on Spaces of Analytic Functions[M]. Boca Raton, FL: CRC Press, 1995.

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