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Parameter–Elliptic Fourier Multipliers Systems and Generation of Analytic and C∞ Semigroups
Mathematics, 2022 We consider Fourier multiplier systems on Rn with components belonging to the standard Hörmander class S1,0mRn, but with limited regularity. Using a notion of parameter-ellipticity with respect to a subsector Λ⊂C (introduced by Denk, Saal, and Seiler) we
Bienvenido Barraza Martínez +3 more
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Fourier Multipliers on Triebel-Lizorkin-Type Spaces
Journal of Function Spaces and Applications, 2012 The authors study the mapping properties of Fourier multipliers, with symbols satisfying some generalized Hörmander's condition, on Triebel- Lizorkin-type spaces and Triebel-Lizorkin-Hausdorff spaces.
Dachun Yang, Wen Yuan, Ciqiang Zhuo
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Thermodynamic hierarchies of evolution equations; pp. 389–395 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 Non-equilibrium thermodynamics with internal variables introduces a natural hierarchical arrangement of evolution equations. Three examples are shown: a hierarchy of linear constitutive equations in thermodynamic rhelogy with a single internal variable ...
Peter Ván +2 more
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Transfer of Fourier multipliers into Schur multipliers and sumsets in a discrete group [PDF]
, 2010 We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue-Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten-von-Neumann-Orlicz classes.
Neuwirth, Stefan, Ricard, Éric
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Lp Fourier multipliers on compact Lie groups [PDF]
, 2015 In this paper we prove Lp multiplier theorems for invariant and non-invariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on Rn and its variants on tori Tn. We also give applications to a-priori estimates for
EM Stein +21 more
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The problem of trigonometric Fourier series multipliers of classes in λp,q spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this article, we consider weighted spaces of numerical sequences λp,q, which are defined as sets of sequences a = {ak}∞k=1, for which the norm ||a||λp,q := (∞Σk=1|ak|qkq/p −1)1/q < ∞ is finite. In the case of non-increasing sequences, the norm of the
A. Bakhyt, N.T. Tleukhanova
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Optimal control of singular Fourier multipliers by maximal operators [PDF]
, 2013 We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
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Convolution Powers of Salem Measures with Applications [PDF]
, 2015 We study the regularity of convolution powers for measures supported on Salem sets, and prove related results on Fourier restriction and Fourier multipliers. In particular we show that for $\alpha$ of the form ${d}/{n}, n=2,3,\cdots$ there exist $\alpha$-
Chen, Xianghong, Seeger, Andreas
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Sharp Inequalities for the Haar System and Fourier Multipliers
Journal of Function Spaces and Applications, 2013 A classical result of Paley and Marcinkiewicz asserts that the Haar system h=hkk≥0 on 0,1 forms an unconditional basis of Lp0,1 provided ...
Adam Osȩkowski
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On radial Fourier multipliers and almost everywhere convergence [PDF]
, 2014 We study a.e. convergence on $L^p$, and Lorentz spaces $L^{p,q}$, $p>\tfrac{2d}{d-1}$, for variants of Riesz means at the critical index $d(\tfrac 12-\tfrac 1p)-\tfrac12$.
Lee, Sanghyuk, Seeger, Andreas
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