Duals of Hardy spaces on homogeneous groups |
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| Authors: | Marcin Bownik Gerald B Folland |
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| Institution: | 1. Department of Mathematics, University of Oregon, Eugene, OR 97403‐1222, USA;2. Phone: +1 541 346 5622, Fax: +1 541 346 0987;3. Department of Mathematics, University of Washington, Seattle, WA 98195‐4350, USAPhone: +1 206 543 7083, Fax: +1 206 543 0397 |
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| Abstract: | Hardy spaces on homogeneous groups were introduced and studied by Folland and Stein 3]. The purpose of this note is to show that duals of Hardy spaces Hp , 0 < p ≤ 1, on homogeneous groups can be identified with Morrey–Campanato spaces. This closes a gap in the original proof of this fact in 3]. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Hardy space Campanato space homogeneous group duality |
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