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This article is cited in 2 scientific papers (total in 2 papers)
Logarithmic growth of the L1-norm of the majorant of partial sums of an orthogonal series
B. S. Kashina, S. I. Sharekb a Steklov Mathematical Institute, Russian Academy of Sciences
b Case Western Reserve University
Abstract:
It is proved that for any N×N orthogonal matrix A={aij} we have
N∑i=1max1⩽n⩽N|n∑j=1aij|⩾130N1/2logN.
A multidimensional analog of this result is also established.
Received: 27.01.1995
Citation:
B. S. Kashin, S. I. Sharek, “Logarithmic growth of the L1-norm of the majorant of partial sums of an orthogonal series”, Mat. Zametki, 58:2 (1995), 218–230; Math. Notes, 58:2 (1995), 824–832
Linking options:
https://www.mathnet.ru/eng/mzm2038 https://www.mathnet.ru/eng/mzm/v58/i2/p218
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Abstract page: | 689 | Full-text PDF : | 160 | References: | 70 | First page: | 3 |
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