Mean-boundedness and Littlewood-Paley for separation-preserving operators

DOI10.1090/S0002-9947-97-01896-5zbMath0888.42004MaRDI QIDQ3127579

Earl Berkson, T. Alastair Gillespie

Publication date: 9 April 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectral decompositionLittlewood-Paley theorem\(A_ p\) conditionmean-bounded operatorsseparation preserving operatorsvector-valued M. Riesz theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Multipliers in one variable harmonic analysis (42A45) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (6)

\(A_{p}\) weights and strong convergence of operator-valued Fourier series for Stieltjes convolutions of Marcinkiewicz functions ⋮ Marcinkiewicz \(r\)-classes and Fourier series expansions of operator ergodic Stieltjes convolutions ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Weighted inequalities for the two-dimensional one-sided Hardy-Littlewood maximal function ⋮ Operator ergodic theory for one-parameter decomposable groups ⋮ Characterizations of pseudo-differential operators on \(\mathbb{S}^1\) based on separation-preserving operators

Cites Work

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• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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