Journal article
Tangent sequences in Orlicz and rearrangement invariant spaces
Mathematical proceedings of the Cambridge Philosophical Society, v 119(1), pp 91-101
Jan 1996
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Abstract
Let (fn) and (gn) be two sequences of random variables adapted to an increasing sequence of σ-algebras (ℱn) such that the conditional distributions of fn and gn given ℱn coincide. Suppose further that the sequence (gn) is conditionally independent. Then it is known that where the number C is a universal constant. The aim of this paper is to extend this result to certain classes of Orlicz and rearrangement invariant spaces. This paper includes fairly general techniques for obtaining rearrangement invariant inequalities from Orlicz norm inequalities.
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Details
- Title
- Tangent sequences in Orlicz and rearrangement invariant spaces
- Creators
- Paweł Hitczenko - North Carolina State UniversityStephen J. Montgomery-Smith - University of Missouri
- Publication Details
- Mathematical proceedings of the Cambridge Philosophical Society, v 119(1), pp 91-101
- Publisher
- Cambridge University Press
- Number of pages
- 11
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1996TV27300010
- Scopus ID
- 2-s2.0-85012449840
- Other Identifier
- 991020531847204721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics