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1.
Ferenc Weisz 《Integral Equations and Operator Theory》2008,60(1):133-149
So-called short-time Fourier transform multipliers (also called Anti-Wick operators in the literature) arise by applying a
pointwise multiplication operator to the STFT before applying the inverse STFT. Boundedness results are investigated for such
operators on modulation spaces and on L
p
-spaces. Because the proofs apply naturally to Wiener amalgam spaces the results are formulated in this context. Furthermore,
a version of the Hardy-Littlewood inequality for the STFT is derived.
This paper was written while the author was researching at University of Vienna (NuHAG) supported by Lise Meitner fellowship
No M733-N04. This research was also supported by the Hungarian Scientific Research Funds (OTKA) No K67642. 相似文献
2.
利用Stroemberg-Torchinsky分解,给出了Triebel空间Fp-q(R^n,X)上算子值傅里叶乘子的一个充分条件.在n〈min(p,q)情形下,这里给出的充分条件改进了之前已知的结果. 相似文献
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利用Str6mberg-Torchinsky分解,给出了Triebel空间FEp.q(Rn,X)上算子值傅里叶乘子的一个充分条件.在rl相似文献
4.
Grafakos Loukas He Danqing Van Nguyen Hanh Yan Lixin 《Journal of Fourier Analysis and Applications》2019,25(3):959-994
Journal of Fourier Analysis and Applications - We obtain new multilinear multiplier theorems for symbols of restricted smoothness which lie locally in certain Sobolev spaces. We provide... 相似文献
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We provide a general scheme for proving L p estimates for certain bilinear Fourier restrictions outside the local L 2 setting. As an application, we show how such estimates follow for the lacunary polygon. In contrast with prior approaches, our argument avoids any use of the Rubio de Francia Littlewood?CPaley inequality. 相似文献
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It is shown that a Banach space satisfies Clarkson's inequalities if and only if its “type or cotype constant” is 1, which implies in particular that the notions of Go - and Gn - Fourier type by Milman [16] are equivalent. A sequence of related results is also given. 相似文献
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In this paper, let α be any real number between 0 and 2, we study the Dirichlet problem for semi-linear elliptic system involving the fractional Laplacian: We will first establish the equivalence between PDE problem (1) and the corresponding integral equation (IE) system (Lemma 2). Then we use the moving planes method in integral forms to establish our main theorem, a Liouville type theorem for the integral system (Theorem 3). Then we conclude the Liouville type theorem for the above differential system involving the fractional Laplacian (Corollary 4).
相似文献
$$\left \{\begin {array}{l} (-{\Delta })^{\alpha /2}u(x)=v^{q}(x),\ \ \ x\in \mathbb {R}^{n}_{+},\\ (-{\Delta })^{\alpha /2}v(x)=u^{p}(x),\ \ \ x\in \mathbb {R}^{n}_{+},\\ u(x)=v(x)=0,\ \ \ \ \ \ \ \ \ \ x\notin \mathbb {R}^{n}_{+}. \end {array}\right .\label {elliptic} $$
(1)
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In this paper, by establishing a result concerning the mapping properties for bi(sub)linear operators on Morrey spaces, and the weighted estimates with general weights for the bilinear Fourier multiplier, the author establishes some results concerning the behavior on the product of Morrey spaces for bilinear Fourier multiplier operator with associated multiplierσ satisfying certain Sobolev regularity. 相似文献
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本文讨论非线性多值算子的非紧扰动的映射定理,并给出非线性泛函方程z∈T(x)+F(x)可解性的最新结果,其中T是多值算子且(T+1/nI)-1是1-集压缩,而F是1-集压缩或γ-凝聚.所得的结果改善了[5,8,12]中的主要结果 相似文献
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Guoen HU 《数学年刊B辑(英文版)》2017,38(3):795-814
Let T_σ be the bilinear Fourier multiplier operator with associated multiplier σ satisfying the Sobolev regularity that sup κ∈Z∥σ_κ∥W~s(R~(2n)) ∞ for some s ∈ (n, 2n]. In this paper, it is proved that the commutator generated by T_σ and CMO(R~n) functions is a compact operator from L~(p1)(R~n, w_1) × L~(p2)(R~n, w_2) to L~p(R~n, ν_w) for appropriate indices p_1, p_2, p ∈ (1, ∞) with1 p=1/ p_1 +1/ p_2 and weights w_1, w_2 such that w = (w_1, w_2) ∈ A_(p/t)(R~(2n)). 相似文献
13.
引入了一类新的有限连续空间(简称, $FC$-空间),并在$FC$-空间中证明了一些新的涉及容许类集值映射和具有紧局部交性质的KKM型定理和重合点定理.作为应用,在$FC$-空间中得到了一些新的不动点定理.这些结果统一和推广了近期文献在抽象凸空间中的一些重要结果. 相似文献
14.
This paper establishes a real Paley-Wiener theorem to characterize the quaternion-valued functions whose quaternion Fourier transform has compact support by the partial derivative and also a Boas theorem to describe the quaternion Fourier transform of these functions that vanish on a neighborhood of the origin by an integral operator. 相似文献
15.
C. Carpintero D. Muñoz E. Rosas J. Sanabria O. García 《Mediterranean Journal of Mathematics》2014,11(4):1215-1228
In this paper we show that for a bounded linear operator \({T\in L(X)}\) acting on a Banach space X, the study of generalized Weyl’s theorem for T can be reduced to the study of generalized Weyl’s theorem for some restrictions of T. 相似文献
16.
New applications of cotype to the theory of absolutely summing linear operators between Banach spaces are proved in this paper. Among other consequences we extend/complement some classical results of Bennett (Duke Math J 44:603?C639, 1977) on the existence of non-absolutely summing operators between ? p spaces and of Davis and Johnson (Stud Math 51:81?C85, 1974) on the existence of compact non-absolutely summing linear operators. We also point out that some of our results are sharp. 相似文献
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