L ∞-estimates of the Bergman projection in the Lie ball of ℂ n
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نویسنده
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nana c.
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منبع
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journal of function spaces - 2011 - دوره : 9 - شماره : 2 - صفحه:109 -128
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چکیده
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In this paper,we consider estimates with loss for the bergman projections of bounded symmetric domains of ℂ n in their harish-chandra realizations. this paper is twofold: on one side we develop transfer methods between these bounded domains and their cayley transform; on the other side we give a new range of q such that the bergman projection is bounded from l ∞(b n) to l q(b n) where b n is the lie ball of ℂ n. copyright © 2011 hindawi publishing corporation.
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کلیدواژه
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Bergman projector; Bergman spaces; Interpolation; Lie ball; Lorentz cone
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آدرس
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university of buea,faculty of science,department of mathematics,p.o. box 63, Cameroon
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