Browse > Article
http://dx.doi.org/10.4134/BKMS.2009.46.6.1135

PRODUCTS OF DIFFERENTIATION AND COMPOSITION ON BLOCH SPACES  

Ohno, Shuichi (Nippon Institute of Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.46, no.6, 2009 , pp. 1135-1140 More about this Journal
Abstract
We will consider the questions of when the products of composition and differentiation are bounded and compact on Bloch and little Bloch spaces.
Keywords
differentiation; composition operators; Bloch spaces;
Citations & Related Records

Times Cited By Web Of Science : 7  (Related Records In Web of Science)
Times Cited By SCOPUS : 8
연도 인용수 순위
1 S. Ohno, Products of composition and differentiation between Hardy spaces, Bull. Austral. Math. Soc. 73 (2006), no. 2, 235-243   DOI
2 A. B. Aleksandrov, J. M. Anderson, and A. Nicolau, Inner functions, Bloch spaces and symmetric measures, Proc. London Math. Soc. (3) 79 (1999), no. 2, 318-352   DOI
3 C. C. Cowen and B. D. MacCluer, Composition Operators on Spaces of Analytic Functions, Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1995
4 P. L. Duren, Theory of $H^p$ Spaces, Academic Press, New York, 1970
5 S. Ohno, K. Stroehoff, and R. Zhao, Weighted composition operators between Bloch-type spaces, Rocky Mountain J. Math. 33 (2003), no. 1, 191-215   DOI   ScienceOn
6 J. H. Shapiro, Composition Operators and Classical Function Theory, Springer-Verlag, New York, 1993
7 W. Smith, Composition operators between Bergman and Hardy spaces, Trans. Amer. Math. Soc. 348 (1996), no. 6, 2331-2348   DOI   ScienceOn
8 K. Zhu, Operator Theory in Function Spaces, Marcel Dekker, New York, 1990
9 R. A. Hibschweiler and N. Portnoy, Composition followed by differentiation between Bergman and Hardy spaces, Rocky Mountain J. Math. 35 (2005), no. 3, 843-855   DOI   ScienceOn