WEIGHTED COMPOSITION OPERATORS BETWEEN BERGMAN AND BLOCH SPACES

Title & Authors
WEIGHTED COMPOSITION OPERATORS BETWEEN BERGMAN AND BLOCH SPACES
Sharma, Ajay K.; Kumari, Rekha;

Abstract
In this paper, we characterize the boundedness and compactness of weighted composition operators ${\psi}C{\varphi}f Keywords Bergman spaces;Bloch spaces;little Bloch spaces;weighted composition operator; Language English Cited by 1. New criteria for boundedness and compactness of weighted composition operators mapping into the Bloch space, Central European Journal of Mathematics, 2013, 11, 1, 55 References 1. K. R. M. Attele, Multipliers of composition operators, Tokyo J. Math. 15 (1992), 185-198 2. S. J. Axler, Zero multipliers of Bergman spaces, Canad. Math. Bull. 28 (1985), 237-242 3. Z. Cuckovic and R. Zhao, Weighted composition operators on the Bergman space, J. London Math. Soc. 70 (2004), 499-511 4. M. D. Contreras and A. G. Hernandez-Diaz, Weighted composition operators on Hardy spaces, J. Math. Anal. Appl. 263 (2001), 224-233 5. M. D. Contreras and A. G. Hernandez-Diaz, Weighted composition operators on spaces of functions with derivatiae in a Hardy space, J. Operator Theory 52 (2004), 173-184 6. C. C. Cowen and B. D. MacCluer, Composition operators on spaces of analytic functions, CRC Press Boca Raton, New York, 1995 7. F. Forelli, The isometries of HP spaces, Canad. J Math. 16 (1964), 721-728 8. H. Hedenmalm, B. Korenblum, and K. Zhu, Theory of Bergman spaces, Springer, New York-Berlin, 2000 9. K. Hoffman, Banach spaces of analytic functions, Dover Publications, Inc., 1988 10. H. Kamowitz, Compact operators of the form${\upsilon}C{\varphi}\$, Pacific J. Math. 80 (1979),205-211

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