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Search: MSC category 42A45 ( Multipliers )

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1. CMB Online first

De Carli, Laura; Samad, Gohin Shaikh
 One-parameter groups of operators and discrete Hilbert transforms We show that the discrete Hilbert transform and the discrete Kak-Hilbert transform are infinitesimal generator of one-parameter groups of operators in $\ell^2$. Keywords:discrete Hilbert transform, groups of operators, isometriesCategories:42A45, 42A50, 41A44

2. CMB 2012 (vol 56 pp. 801)

Oberlin, Richard
 Estimates for Compositions of Maximal Operators with Singular Integrals We prove weak-type $(1,1)$ estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator $\Delta^*\Psi$ where $\Delta^*$ is Bourgain's maximal multiplier operator and $\Psi$ is the sum of several modulated singular integrals; here our method yields a significantly improved bound for the $L^q$ operator norm when $1 \lt q \lt 2.$ We also consider associated variation-norm estimates. Keywords:maximal operator calderon-zygmundCategory:42A45

3. CMB 2005 (vol 48 pp. 370)

Daly, J. E.; Fridli, S.
 Trigonometric Multipliers on $H_{2\pi}$ In this paper we consider multipliers on the real Hardy space $H_{2\pi}$. It is known that the Marcinkiewicz and the H\"ormander--Mihlin conditions are sufficient for the corresponding trigonometric multiplier to be bounded on $L_{2\pi}^p$, \$1 Keywords:Multipliers, Hardy spaceCategories:42A45, 42A50, 42A85
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