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Construction of Fourier multipliers [PDF]

open access: bronzeBulletin of the Australian Mathematical Society, 1977
The classical Wiener-Pitt phenomenon for measures may be formulated as an existence theorem for Fourier multipliers with irregular, spectral properties and the result has been refined in various ways over the years. The most recent development is due to Zafran, who exhibits abnormal spectral behaviour in multipliers whose transforms vanish at infinity ...
Gavin Brown
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Homogeneous Fourier Multipliers in the Plane [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1991
Given a homogeneous of degree zero function on the plane, we study conditions on the first derivative of its restriction to the unit circle in order to deduce that it is an L p {L^p} -multiplier.
Javier Duoandikoetxea, Adela Moyua
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Fourier multipliers on Lipschitz curves [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1992
We develop the theory of Fourier multipliers acting on L p ( γ ) {L_p}(\gamma ) where γ \gamma is a Lipschitz curve of the form γ = { x + i g ( x ) } \gamma =
Alan McIntosh, Tao Qian
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Homogenous Fourier multipliers of Marcinkiewicz type [PDF]

open access: bronzeArkiv för Matematik, 1995
28 pages. The online version of the journal issue provided by the current publisher has faulty typesetting. A 1995 posting on arXiv shows only 7 pages.
Anthony Carbery, Andreas Seeger
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Unconditionality, Fourier multipliers and Schur multipliers [PDF]

open access: bronzeColloquium Mathematicum, 2012
minor corrections; 17 pages ; to appear in Colloquium ...
Cédric Arhancet
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On Radial and Conical Fourier Multipliers [PDF]

open access: greenJournal of Geometric Analysis, 2010
We investigate connections between radial Fourier multipliers on $R^d$ and certain conical Fourier multipliers on $R^{d+1}$. As an application we obtain a new weak type endpoint bound for the Bochner-Riesz multipliers associated to the light cone in $R^{d+1}$, where $d\ge 4$, and results on characterizations of $L^p\to L^{p, }$ inequalities for ...
Yaryong Heo   +2 more
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Some Weighted Estimates for Multilinear Fourier Multiplier Operators [PDF]

open access: goldAbstract and Applied Analysis, 2013
We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using Lr-based Sobolev spaces ...
Zengyan Si
doaj   +2 more sources

Unimodular Fourier multipliers for modulation spaces

open access: bronzeJournal of Functional Analysis, 2007
18 ...
Árpád Bényi   +3 more
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Logarithmic inequalities for Fourier multipliers [PDF]

open access: hybridMathematische Zeitschrift, 2012
In the paper we study LlogL estimates for Fourier multipliers resulting from modulation of the jumps of Levy processes. We exhibit a class of functions \(m:\mathbb R ^d \rightarrow \mathbb C \), for which the corresponding multipliers \(T_m\) satisfy the following estimate: for \(K>1\), any locally integrable function \(f\) on \(\mathbb R ^d\) and any ...
Adam Osękowski
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