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ON A DIVERGENT SERIES OF MEASURABLE FUNCTIONS.
- Source :
- QM - Quaestiones Mathematicae; Dec2008, Vol. 31 Issue 4, p375-378, 4p
- Publication Year :
- 2008
-
Abstract
- Let (t<subscript>n</subscript>(t)) be the sequence of trigonometric functions on [0, 1] with real scalars. We prove a generalization of the likely known result: - for every p ⩾ 1 the series Σ (∣t<subscript>n</subscript>(t)∣<superscript>p</superscript>)/n is unbounded on every set A with positive measure. This provides an alternate proof of a result in a recent paper of the author; the methods used are classical. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 31
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 43537004
- Full Text :
- https://doi.org/10.2989/QM.2008.31.4.5.609