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On unconditional exponential bases in weak weighted spaces on segment
K. P. Isaevab, A. V. Lutsenkob, R. S. Yulmukhametovab a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
b Bashkir State University, Ufa
Abstract:
We show that the existence of unconditional exponential bases is not determined by the growth characteristics of weight function. In order to do this, we construct examples of convex weights with arbitrarily slow growth near the boundary such that unconditional exponential bases do not exist in the corresponding space.
Keywords:
Hilbert spaces, entire functions, unconditional exponential bases, Riesz bases.
Received: 30.05.2016
Citation:
K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “On unconditional exponential bases in weak weighted spaces on segment”, Ufimsk. Mat. Zh., 8:4 (2016), 90–99; Ufa Math. J., 8:4 (2016), 88–97
Linking options:
https://www.mathnet.ru/eng/ufa353https://doi.org/10.13108/2016-8-4-88 https://www.mathnet.ru/eng/ufa/v8/i4/p90
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Abstract page: | 292 | Russian version PDF: | 131 | English version PDF: | 14 | References: | 34 |
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