Decompositions ofLpand Hardy Spaces of P
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Miroslav Pavlović
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Article
📅
1997
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Elsevier Science
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English
⚖ 186 KB
Let H 0p, q F ϱ, yϱ -␣ -ϱ denote the space of those polyhark monic functions f of order k on the unit n-ball for which the function r ¬ Ž . ␣ y 1 rq Ž . q Ž . 1yr M f ,r belongs to L 0, 1 . Our main result is that, when k G 2 and p Ž . ␣)y 1, the operator f ¬ Pf, ⌬ f , where Pf is the Poisson integ