On the decomposition theorems of Fourier transforms with weighted norms

DOI10.2748/tmj/1178243866zbMath0116.30901OpenAlexW2052220894MaRDI QIDQ2625832

Satoru Igari

Publication date: 1963

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

Full work available at URL: https://doi.org/10.2748/tmj/1178243866

zbMATH Keywords

integral equations, integral transforms

Related Items (7)

Norm inequalities for some orthogonal series ⋮ Functions of L\(^p\)-multipliers. II ⋮ Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms ⋮ Sur les multiplicateurs dans \({\mathcal F}L^ p\) avec poids ⋮ On decomposition of Walsh Fourier series ⋮ A note on the Littlewood-Paley function \(g^*(f)\) ⋮ Estimates for the maximal function of Hardy-Littlewood and the maximal Hilbert transform with weighted measures

Cites Work

• On functions regular in a half-plane
• Multiplier transformations on \(l^{2,\alpha}\)
• Estimates for translation invariant operators in \(L^p\) spaces
• Multiplier transformations. II
• Discrete analogue of a theorem of Littlewood-Paley
• The decomposition of Walsh and Fourier series
• On Functions Analytic in a Half-Plane
• Note on Singular Integrals
• Interpolation of Operators with Change of Measures
• On an Integral of Marcinkiewicz
• Hankel Multiplier Transformations and Weighted p-Norms
• A remark on inequalities of Calderon-Zygmund type for vector-valued functions
• On the convergence and summability of power series on the circle of convergence (I)
• Sur les multiplicateurs des séries de Fourier
• On Certain Integrals

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