Estimates of the Cordoba - Fernandez operator in Marcinkiewicz spaces
Abstract
In the A. Cordoba and P. Fernandez research of the divergence of greedy algorithms in Lebesgue spaces some maximum operator P*(x) played the key role. This article reviews the assessment P*(x) in Marcinkiewicz spaces.
About the Authors
Y. I. Berezhnoi
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
D. S. Gladkikh
Ярославский государственный университет им. П.Г. Демидова
Russian Federation
Russian Federation
References
1. Крейн С. Г., Петунии Ю. И., Семенов Е. М. Интерполяция линейных операторов
2. Cordoba А., Fernandez P. Convergence and divergence of decreasing rearranged Fourier series // SIAM J.Math. Anal., 1998. Vol. 29. No. 5. P. 1129-1139.
3. Lindenstrauss J., Tzafriri L. Classical Banach spaces. I, II. Berlin: Springer , 1979.
4. Монтгомери Г. Мультипликативная теория чисел. М.: Мир, 1974.
Review
For citations:
Berezhnoi Y.I., Gladkikh D.S. Estimates of the Cordoba - Fernandez operator in Marcinkiewicz spaces. Modeling and Analysis of Information Systems. 2009;16(4):34-45. (In Russ.)
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