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The Mixed Norm Spaces of Polyharmonic Functions

✍ Scribed by Zhangjian Hu; Miroslav Pavlović; Xuejun Zhang

Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
382 KB
Volume
27
Category
Article
ISSN
0926-2601

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📜 SIMILAR VOLUMES

Decompositions ofLpand Hardy Spaces of P
Decompositions ofLpand Hardy Spaces of Polyharmonic Functions
✍ 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