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Construction of Fourier multipliers [PDF]
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]
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]
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]
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]
minor corrections; 17 pages ; to appear in Colloquium ...
Cédric Arhancet
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On Radial and Conical Fourier Multipliers [PDF]
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]
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
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Unimodular Fourier multipliers for modulation spaces
18 ...
Árpád Bényi+3 more
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Logarithmic inequalities for Fourier multipliers [PDF]
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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Multipliers for Walsh-Fourier series [PDF]
Chinami Watari
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