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- Title
Rearrangements of the Haar system in binary spaces H and BMO.
- Authors
Marshan, D.
- Abstract
The article presents the Haar system rearrangements in the binary spaces of H and BMO, where BMO is the binary space dual to H. The theorem which refines and generalizes Schipp's theorem is presented. The necessary and sufficient conditions for the boundedness of the operators is established by Semenov's theorem.
- Subjects
HAAR system (Mathematics); HARDY spaces; LEBESGUE integral; LEBESGUE-Radon-Nikodym theorems; ORTHOGONAL polynomials; ORTHOGONAL functions; MEASURE algebras
- Publication
Mathematical Notes, 2006, Vol 80, Issue 3/4, p599
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-006-0180-x