On orthogonal systems with extremely large \(L_2\)-norm of the maximal operator

DOI10.1134/S0001434621030135zbMath1467.42046OpenAlexW3178433292MaRDI QIDQ2037682

Alexei P. Solodov

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621030135

zbMATH Keywords

maximal operatorToeplitz matrixWeyl multiplierHilbert matrixorthonormal systemprice systemMenchoff-Rademacher theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• Estimate of the norms of matrices whose entries are constant in binary blocks
• A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
• On Paszkiewicz's example
• Dyadic analogues of Hilbert matrices
• REARRANGEMENTS OF FOURIER-WALSH SERIES
• Toeplitz and Hankel matrices as Hadamard--Schur multipliers
• On Weyl multipliers of the rearranged trigonometric system
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