1Department of Mathematics National Central University Chung-Li 320, Taiwan and National Center for Theoretical Sciences 1 Roosevelt Road, Sec. 4 National Taiwan University Taipei 106, Taiwan 2Department of Mathematics Macquarie University Sydney, NSW 2109, Australia 3School of Information Technology and Mathematical Sciences University of South Australia Mawson Lakes, SA 5095, Australia
Studia Mathematica, Tome 235 (2016) no. 3, pp. 251-267
A classical theorem of Jones and Journé on weak-star convergence in the Hardy space $H^1$ was generalized to the multiparameter setting by Pipher and Treil. We prove the analogous result when the underlying space is a product space of homogeneous type. The main tools we use are from recent work by Chen, Li and Ward (2013) and by Han, Li and Ward (2014).
Keywords:
classical theorem jones journ weak star convergence hardy space nbsp generalized multiparameter setting pipher treil prove analogous result underlying space product space homogeneous type main tools recent work chen ward han ward
Affiliations des auteurs :
Ming-Yi Lee
1
;
Ji Li
2
;
Lesley A. Ward
3
1
Department of Mathematics National Central University Chung-Li 320, Taiwan and National Center for Theoretical Sciences 1 Roosevelt Road, Sec. 4 National Taiwan University Taipei 106, Taiwan
2
Department of Mathematics Macquarie University Sydney, NSW 2109, Australia
3
School of Information Technology and Mathematical Sciences University of South Australia Mawson Lakes, SA 5095, Australia
Ming-Yi Lee; Ji Li; Lesley A. Ward. On weak-star convergence in product Hardy spaces on spaces of homogeneous type. Studia Mathematica, Tome 235 (2016) no. 3, pp. 251-267. doi: 10.4064/sm8574-8-2016
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