S. V. Astashkin, “On the Multiplier Space Generated by the Rademacher System”, Mat. Zametki, 75:2 (2004), 173–181; Math. Notes, 75:2 (2004), 158

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Matematicheskie Zametki, 2004, Volume 75, Issue 2, Pages 173–181
DOI: https://doi.org/10.4213/mzm26 (Mi mzm26)

This article is cited in 12 scientific papers (total in 12 papers)

On the Multiplier Space Generated by the Rademacher System

S. V. Astashkin

Samara State University

Full-text PDF (215 kB) Citations (12)

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DOI: https://doi.org/10.4213/mzm26

Abstract: In this paper, we consider the space of multipliers of symmetric spaces with respect to the Rademacher systems. We obtain sufficient conditions under which the space in question coincides with the space

$L_\infty$ (with equivalence of norms). These conditions are stated in terms of operator interpolation theory and are essentially weaker than the conditions for the solution of this problem recently obtained by other authors.

Received: 05.07.2002

English version:
Mathematical Notes, 2004, Volume 75, Issue 2, Pages 158–165
DOI: https://doi.org/10.1023/B:MATN.0000015032.65257.2a

Bibliographic databases:

UDC: 517.5+517.982

Language: Russian

Citation: S. V. Astashkin, “On the Multiplier Space Generated by the Rademacher System”, Mat. Zametki, 75:2 (2004), 173–181; Math. Notes, 75:2 (2004), 158–165

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm26

https://doi.org/10.4213/mzm26

https://www.mathnet.ru/eng/mzm/v75/i2/p173

This publication is cited in the following 12 articles:

Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 49
Sergey V. Astashkin, The Rademacher System in Function Spaces, 2020, 311
Astashkin S.V., Curbera G.P., “Local Khintchine Inequality in Rearrangement Invariant Spaces”, Ann. Mat. Pura Appl., 194:3 (2015), 619–643
Astashkin S.V., Curbera G.P., “A Weighted Khintchine Inequality”, Rev. Mat. Iberoam., 30:1 (2014), 237–246
Curbera G.P., “How Summable Are Rademacher Series?”, Vector Measures, Integration and Related Topics, Operator Theory Advances and Applications, 201, eds. Curbera G., Mockenhaupt G., Ricker W., Birkhauser Verlag Ag, 2010, 135–148
S. V. Astashkin, “Rademacher functions in symmetric spaces”, Journal of Mathematical Sciences, 169:6 (2010), 725–886
Astashkin S. V., Curbera G. P., “Rearrangement invariance of Rademacher multiplicator spaces”, J. Funct. Anal., 256:12 (2009), 4071–4094
A. I. Novikova, “Indeksy Banakha–Saksa dlya podprostranstv Rademakhera”, Vestn. SamGU. Estestvennonauchn. ser., 2009, no. 4(70), 44–51
Guillermo P. Curbera, Vector Measures, Integration and Related Topics, 2009, 135
Astashkin S. V., Curbera G. P., “Rademacher multiplicator spaces equal to L-infinity”, Proc. Amer. Math. Soc., 136:10 (2008), 3493–3501
S. V. Astashkin, “Extrapolation functors on a family of scales generated by the real interpolation method”, Siberian Math. J., 46:2 (2005), 205–225
Astashkin S. V., Curbera G. P., “Symmetric kernel of Rademacher multiplicator spaces”, J. Funct. Anal., 226:1 (2005), 173–192

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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