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On Hardy spaces associated with Bessel operators
Authors:Jorge J Betancor  Jacek Dziubański  Jose Luis Torrea
Institution:(1) Departamento De Análisis Matemático, Universidad De La Laguna, Campus de Anchieta, Avda. Astrofísico Francisco Sánchez, S/N, 38271 La Laguna (Sta. Cruz de Tenerife), Spain;(2) Institute Of Mathematics, University Of Wroclaw, PL. Grunwaldzki 2/4, 50-384 Wroclaw, Poland;(3) Departamento De Matemáticas, Facultad De Ciencias Universidad Autónoma De Madrid, 28049 Madrid, Spain
Abstract:In this paper, we study Hardy spaces associated with two Bessel operators. Two different kind of Hardy spaces appear. These differences are transparent in the corresponding atomic decompositions. The first author was partially supported by MTM2004/05878. The second author was supported by the European Commission Marie Curie Host Fellowship for the Transfer of Knowledge “Harmonic Analysis, Nonlinear Analysis and Probability” MTKD-CT-2004-013389 and by Polish funds for science in years 2005–2008 (research project 1P03A03029).
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