On Weyl multipliers of the rearranged trigonometric system

DOI10.1070/SM9422zbMath1458.42008arXiv2004.01003MaRDI QIDQ5150232

Grigori A. Karagulyan

Publication date: 10 February 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01003

zbMATH Keywords

Weyl multipliertrigonometric seriesMenshov-Rademacher theorem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multipliers in one variable harmonic analysis (42A45) Other transformations of harmonic type (42C20)

Related Items (2)

On wavelet polynomials and Weyl multipliers ⋮ On orthogonal systems with extremely large \(L_2\)-norm of the maximal operator

Cites Work

• On the unconditional convergence of orthogonal series
• Weyl multipliers for the unconditional convergence of series in a Franklin system
• On the unconditional convergence of Walsh series
• On the divergence of rearranged trigonometric series
• On systems of non-overlapping Haar polynomials
• On the divergence of rearranged Walsh series
• Singular integrals along 𝑁 directions in ℝ²
• DIVERGENT FOURIER SERIES
• Kolmogorov and divergent Fourier series
• REARRANGEMENTS OF FOURIER-WALSH SERIES
• SOLVED AND UNSOLVED PROBLEMS IN THE THEORY OF TRIGONOMETRIC AND ORTHOGONAL SERIES
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