Marcinkiewicz multipliers of higher variation and summability of operator-valued Fourier series

DOI10.4064/SM222-2-2zbMath1322.47035OpenAlexW2313460436MaRDI QIDQ5420365

Earl Berkson

Publication date: 12 June 2014

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

Full work available at URL: https://doi.org/10.4064/sm222-2-2

zbMATH Keywords

spectral decompositionspectral integralmodulus mean-bounded operatortrigonometrically well-bounded operatoroperator-valued Fourier seriesStieltjes convolutiondisjoint operatorMarcinkiewicz multiplier of higher variation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Ergodic theory of linear operators (47A35) Multipliers in one variable harmonic analysis (42A45) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Functions of bounded variation, generalizations (26A45) Tauberian theorems (40E05)

Related Items (3)

\(A_{p}\) weights and strong convergence of operator-valued Fourier series for Stieltjes convolutions of Marcinkiewicz functions ⋮ Remarks on measurability of operator-valued functions ⋮ Strong convergence in the weighted setting of operator-valued Fourier series defined by the Marcinkiewicz multipliers

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