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VALERIA MARRAFFA

MR2541232 (2010j:60101) Yong, Jiao; Lihua, Peng; Peide, Liu Atomic decompositions of Lorentz martingale spaces and applications. J. Funct. Spaces Appl. 7 (2009), no. 2, 153–166. (Reviewer: Valeria Marraffa), 60G46 (46B70 46E15)

  • Authors: Marraffa,V
  • Publication year: 2010
  • Type: Altro
  • Key words: weak Orlicz space, maximal function, martingale space, martingale inequality
  • OA Link: http://hdl.handle.net/10447/51611

Abstract

In this paper atomic decomposition theorems of martingales are considered. In particular, three atomic decomposition theorems for Lorentz martingale spacesHs p,q, Qp,q andDp,q, where 0 < p < 1, and 0 < q 1, are proved. As a consequence of these decompositions, the authors obtain a sufficient condition for a sublinear operator T, defined on the previous Lorentz martingale spaces Hs p,q, Qp,q and Dp,q and taking values in Lorentz spaces Lr, to be bounded. Also, a restricted weak-type interpolation theorem is established.