scientific article

zbMath0655.47025MaRDI QIDQ3802101

Leonardo Colzani

Publication date: 1987

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1987_4_14_2_257_0

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zbMATH Keywords

Lorentz spaceHardy-Lorentz spaceBochner-Riesz meanslocally compact non compact group, equipped with left Haar measureright translation invariant linear operator

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) Multipliers for harmonic analysis in several variables (42B15) Linear operators on function spaces (general) (47B38)

Related Items (9)

Translation invariant maps on function spaces over locally compact groups ⋮ Translation-invariant operators on weak \(L^ 1\) ⋮ Characterizations of Hankel multipliers ⋮ A converse extrapolation theorem for translation-invariant operators ⋮ Radial Fourier multipliers in high dimensions ⋮ Translation-invariant bilinear operators with positive kernels ⋮ Bochner-Riesz means of functions in weak-\(L^ p\) ⋮ Unnamed Item ⋮ Central Fourier analysis for Lorentz spaces on compact Lie groups

Cites Work

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• Multiplier transformations of weak type
• On L(p,q) spaces
• Maximal inequalities of weak type
• \(H^p\) spaces of several variables
• On shift-invariant operators
• Linear Operators on L p for 0 < p < 1
• Inclusions and Noninclusion of Spaces of Convolution Operators
• Interpolation Between H p Spaces: The Real Method
• Translation-invariant operators on \(L^p(G)\), \(0<p<1\)

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