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http://dx.doi.org/10.4134/BKMS.2007.44.3.475

COMPOSITION OPERATORS BETWEEN HARDY AND BLOCH-TYPE SPACES OF THE UPPER HALF-PLANE  

Sharma, S.D. (DEPARTMENT OF MATHEMATICS UNIVERSITY OF JAMMU)
Sharma, Ajay K. (SCHOOL OF APPLIED PHYSICS AND MATHEMATICS SHRI MATA VASHINO DEVI UNIVERSITY)
Ahmed, Shabir (DEPARTMENT OF MATHEMATICS UNIVERSITY OF JAMMU)
Publication Information
Bulletin of the Korean Mathematical Society / v.44, no.3, 2007 , pp. 475-482 More about this Journal
Abstract
In this paper, we study composition operators $C_{\varph}f=f^{\circ}{\varph}$, induced by a fixed analytic self-map of the of the upper half-plane, acting between Hardy and Bloch-type spaces of the upper half-plane.
Keywords
composition operator; Bloch-type spaces; Hardy spaces;
Citations & Related Records

Times Cited By Web Of Science : 4  (Related Records In Web of Science)
Times Cited By SCOPUS : 9
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1 R. K. Singh, A relation between composition operators on $H^2(D)$ and $H^2(P^+)$, Pure Appl. Math. Sci. 1 (1974/75), no. 2, 1-5
2 P. L. Duren, Theory of $H^p$ spaces, Pure and Applied Mathematics, Vol. 38 Academic Press, New York-London, 1970
3 K. Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962
4 J. E. Littlewood, On inequalities in the theory of functions, Proc. Lond. Math. Soc. (2) 23 (1925), 481-519
5 V. Matache, Composition operators on $H^p$ of the upper half-plane, An. Univ. Timisoara Ser. Stiint. Mat. 27 (1989), no. 1, 63-66
6 V. Matache, Composition operators on Hardy spaces of a half-plane, Proc. Amer. Math. Soc. 127 (1999), no. 5, 1483-1491
7 S. Ohno, K. Stroethoff, and R. Zhao, Weighted composition operators between Bloch-type spaces, Rocky Mountain J. Math. 33 (2003), no. 1, 191-215   DOI   ScienceOn
8 W. Rudin, Real and complex analysis, Third edition. McGraw-Hill Book Co., New York, 1987
9 S. D. Sharma, Compact and Hilbert-Schmidt composition operators on Hardy spaces of the upper half-plane, Acta Sci. Math. (Szeged) 46 (1983), no. 1-4, 197-202
10 S. D. Sharma, A. K. Sharma, and S. Ahmed, Carleson measures in a vector-valued Bergman space, J. Anal. Appl. 4 (2006), no. 1, 65-76
11 R. K. Singh and S. D. Sharma, Composition operators on a functional Hilbert space, Bull. Austral. Math. Soc. 20 (1979), no. 3, 377-384   DOI
12 R. K. Singh and S. D. Sharma, Noncompact composition operators, Bull. Austral. Math. Soc. 21 (1980), no. 1, 125-130   DOI
13 S. Ohno and R. Zhao, Weighted composition operators on the Bloch space, Bull. Austral. Math. Soc. 63 (2001), no. 2, 177-185   DOI