JOURNAL BROWSE
Search
Advanced SearchSearch Tips
WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACE
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACE
Ye, Shanli;
  PDF(new window)
 Abstract
We characterize the boundedness and compactness of the weighted composition operator from the general function space F(p, q, s) into the logarithmic Bloch space on the unit disk. Some necessary and sufficient conditions are given for which is a bounded or a compact operator from F(p,q,s), (p,q,s) into , respectively.
 Keywords
weighted composition operator; F(p, q, s) space;logarithmic Bloch space;
 Language
English
 Cited by
1.
A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACE,;

대한수학회보, 2010. vol.47. 3, pp.527-540 crossref(new window)
1.
Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces, Abstract and Applied Analysis, 2014, 2014, 1  crossref(new windwow)
2.
A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACE, Bulletin of the Korean Mathematical Society, 2010, 47, 3, 527  crossref(new windwow)
3.
On a Stević-Sharma operator from Hardy spaces to the logarithmic Bloch spaces, Journal of Inequalities and Applications, 2015, 2015, 1  crossref(new windwow)
4.
Weighted Composition Operators from Hardy to Zygmund Type Spaces, Abstract and Applied Analysis, 2013, 2013, 1  crossref(new windwow)
5.
The Multiplication Operator fromF(p,q,s)Spaces tonth Weighted-Type Spaces on the Unit Disk, Journal of Function Spaces and Applications, 2012, 2012, 1  crossref(new windwow)
6.
Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces toHμ∞, Abstract and Applied Analysis, 2014, 2014, 1  crossref(new windwow)
7.
Weighted Composition Operators on the Zygmund Space, Abstract and Applied Analysis, 2012, 2012, 1  crossref(new windwow)
8.
Composition Operators in Hyperbolic Bloch-Type andFp,q,sSpaces, Abstract and Applied Analysis, 2014, 2014, 1  crossref(new windwow)
9.
On a Li–Stević integral-type operator from Bloch-type spaces into logarithmic Bloch spaces, Integral Transforms and Special Functions, 2010, 21, 2, 93  crossref(new windwow)
 References
1.
A. Baernstein II, Analytic Functions of Bounded Mean Oscillation, Aspects of contemporary complex analysis (Proc. NATO Adv. Study Inst., Univ. Durham, Durham, 1979), pp. 3-36, Academic Press, London-New York, 1980

2.
C. C. Cowen and B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1995

3.
K. Madigan and A. Matheson, Compact composition operators on the Bloch space, Trans. Amer. Math. Soc. 347 (1995), no. 7, 2679-2687 crossref(new window)

4.
S. Ohno, Weighted composition operators between $H^{\infty}$ and the Bloch space, Taiwanese J. Math. 5 (2001), no. 3, 555-563

5.
S. Ohno, K. Stroethoff, and R. H. Zhao, Weighted composition operators between Blochtype spaces, Rocky Mountain J. Math. 33 (2003), no. 1, 191-215 crossref(new window)

6.
S. L. Ye, Multipliers and cyclic vectors on weighted Bloch space, Math. J. Okayama Univ. 48 (2006), 135-143

7.
S. L. Ye, Multiplication operators between the little Bloch type and the Bloch type spaces, J. Fujian Normal Univ. Natur. Sci. Ed. 22 (2006), no. 2, 1-4

8.
R. Yoneda, The composition operators on weighted Bloch space, Arch. Math. (Basel) 78 (2002), no. 4, 310-317 crossref(new window)

9.
X. Zhang and J. Xiao, Weighted composition operator between two analytic function spaces, Adv. Math. (China) 35 (2006), no. 4, 453-462

10.
X. J. Zhang, Extend cesaro operator on the Dirichlet type spaces and Bloch type spaces of $C^{n}$, Chin. Ann. Math. 26A (2005), 138-150

11.
R. H. Zhao, On a general family of function space, Ann. Acad. Sci. Fenn. Math. Dissertationes, 105 (1996), 1-56

12.
K. H. Zhu, Bloch type spaces of analytic functions, Rocky Mountain J. Math. 23 (1993), no. 3, 1143-1177 crossref(new window)

13.
K. Zhu, Operator Theory in Function Spaces, Monographs and Textbooks in Pure and Applied Mathematics, 139. Marcel Dekker, Inc., New York, 1990