On a lemma of Marcinkiewicz and its applications to Fourier series

DOI10.2748/tmj/1178244582zbMath0107.05304OpenAlexW2086165543WikidataQ124988964 ScholiaQ124988964MaRDI QIDQ775722

Shigeki Yano

Publication date: 1959

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178244582

zbMATH Keywords

approximation and series expansion

Related Items (12)

Martingale Theory and Pointwise Convergence of Certain Orthogonal Series ⋮ Wavelets in weighted norm spaces ⋮ Multipliers of the Haar series ⋮ On the absolute convergence of Fourier series ⋮ On multipliers of Fourier series in the Haar system ⋮ Unconditional convergence of Fourier expansions in systems of product bases in Orlicz spaces ⋮ Multipliers of double Fourier-Haar series ⋮ Multiplicative bounds for \(L _{1}\)-norms of exponential sums ⋮ Mean convergence of Walsh Fourier series ⋮ Elastic perturbation theory in general relativity and a variation principle for a rotating solid star ⋮ Series with respect to the Walsh system and their generalizations ⋮ Multipliers of the Fourier-Haar series

Cites Work

• On a theorem of Marcinkiewicz concerning interpolation of operations
• Theorems on power series of the class Hp
• Cesàro summability of Walsh-Fourier series
• A theorem of Lusin. I
• Notes on Fourier analysis. XXXIX
• On the existence of certain singular integrals
• ON THE LITTLEWOOD-PALEY FUNCTION g ^* (θ)
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A Remarkable Series of Orthogonal Functions (I)
• Theorems on Fourier Series and Power Series
• The strong summability of Fourier series
• Sur les séries de Fourier
• Sur la Sommabilité Forte de Séries de Fourier
• On the Convergence and Summability of Power Series on the Circle of Convergence (II)
• On Certain Integrals
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES
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