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Decompositions of the Hardy space ℋ1z(Ω)

✍ Scribed by Zeng Jian Lou; Shou Zhi Yang; Dao Jin Song


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
155 KB
Volume
21
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES


Decompositions ofLpand Hardy Spaces of P
✍ Miroslav Pavlović 📂 Article 📅 1997 🏛 Elsevier Science 🌐 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