The space BMO and strong means of Fourier series

DOI10.1007/BF02630362zbMath0731.42013MaRDI QIDQ807911

V. A. Rodin

Publication date: 1990

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

sublinear operatorsconjugate seriesBanach space BMOstrong means of Fourier series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (11)

Everywhere divergent \(\Phi\)-means of Fourier series ⋮ Almost everywhere strong summability of double Walsh-Fourier series ⋮ \(\varphi\)-strong summability of Fourier-Laplace series of functions of class \(L(S^{m-1})\) ⋮ Almost everywhere strong \(C,1,0\) summability of 2-dimensional trigonometric Fourier series ⋮ BMO-estimation and almost everywhere exponential summability of quadratic partial sums of double Fourier series ⋮ On exponential summability of rectangular partial sums of double trigonometric Fourier series ⋮ Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability ⋮ Almost everywhere strong summability of Fejér means of rectangular partial sums of two-dimensional Walsh-Fourier series ⋮ Riesz means of Fourier series and integrals: Strong summability at the critical index ⋮ Strong means and oscillation of multiple Fourier series in multiplicative systems ⋮ On almost everywhere convergence of strong arithmetic means of Fourier series

Cites Work

• Unnamed Item
• On limits of sequences of operators
• Period, index and potential \(\text Ш\)
• Rademacher series in symmetric spaces

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