E. M. Semenov, S. N. Uksusov, “Multipliers of the Haar series”, Sibirsk. Mat. Zh., 53:2 (2012), 388–395; Siberian Math. J., 53:2 (2012), 310

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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 388–395 (Mi smj2313)

This article is cited in 10 scientific papers (total in 10 papers)

Multipliers of the Haar series

E. M. Semenov, S. N. Uksusov

Voronezh State University, Faculty of Mathematics, Voronezh

Full-text PDF (302 kB) Citations (10)

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Abstract: We calculate the norms of multipliers for the Haar system in some rearrangement invariant spaces for which the Haar system is not an absolute basis.

Keywords: Haar system, multiplier, Lorentz space.

Received: 30.05.2011

English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 310–315
DOI: https://doi.org/10.1134/S0037446612020139

Bibliographic databases:

Document Type: Article

UDC: 517.512

Language: Russian

Citation: E. M. Semenov, S. N. Uksusov, “Multipliers of the Haar series”, Sibirsk. Mat. Zh., 53:2 (2012), 388–395; Siberian Math. J., 53:2 (2012), 310–315

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/smj2313

https://www.mathnet.ru/eng/smj/v53/i2/p388

This publication is cited in the following 10 articles:

R. Lechner, P. Motakis, P. F. X. Müller, Th. Schlumprecht, “Multipliers on bi-parameter Haar system Hardy spaces”, Math. Ann., 2024
N. T. Tleukhanova, L. O. Sarybekova, A. Orynbek, Trends in Mathematics, 5, Women in Analysis and PDE, 2024, 375
N. T. Tleukhanova, A. N. Bashirova, “Multipliers of Fourier–Haar series in Lorentz spaces”, Eurasian Math. J., 13:4 (2022), 82–87
Richard Lechner, Pavlos Motakis, Paul F.X. Müller, Thomas Schlumprecht, “The space is primary for 1 < p < ∞”, Forum of Mathematics, Sigma, 10 (2022)
N. T. Tleukhanova, A. N. Bashirova, “On Multipliers of Fourier Series in the Haar System”, Math. Notes, 109:6 (2021), 940–947
Wark H.M., “Operator-Valued Fourier-Haar Multipliers on Vector-Valued l-1 Spaces II: a Characterisation of Finite Dimensionality”, Positivity, 25:3 (2021), 987–996
Tleukhanova N.T. Nursultanov E.D. Bashirova A.N., “Multipliers of Double Fourier-Haar Series”, Adv. Oper. Theory, 6:3 (2021), 58
Lechner R., Motakis P., Mueller P.F.X., Schlumprecht T., “Strategically Reproducible Bases and the Factorization Property”, Isr. J. Math., 238:1 (2020), 13–60
H. M. Wark, “Operator-valued Fourier Haar multipliers on vector-valued $L^1$ spaces”, J. Math. Anal. Appl., 450:2 (2017), 1148–1156
H. M. Wark, “A Remark on the multipliers of the Haar basis of $L^1[0,1]$ ”, Studia Math., 227:2 (2015), 141–148

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

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Full-text PDF :	153
References:	84
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