Multipliers between $ BMO $ Spaces on Open Unit Ball |
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Authors: | James L Wang Zhijian Wu |
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Institution: | (1) Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487, USA. E-mail: jwang@gp.as.ua.edu; zwu@bama.ua.edu, US |
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Abstract: | and spaces consist of all those locally integrable functions
on the open unit ball such that their mean oscillations on any Bergman
ball are, respectively, bounded and vanishing to zero as the Bergman ball
approaches the boundary of the unit ball. The harmonic (or analytic) versions
of the and spaces are the Bloch space and the little Bloch
space, respectively. The study of these spaces plays an important role in modern
analysis, especially in the the area of operator theory and holomorphic
spaces. In this paper, we characterize systematically the multipliers of and spaces.
Submitted: January 9, 2001?Revised: October 16, 2002 |
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Keywords: | , ((no )),?Mathematics Subject Classification (2000), Primary 47B38, Secondary 30C40, |
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