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This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.

经典分析与常微分方程 · 数学 2012-04-09 Luong Dang Ky

We show that, for a natural class of rearrangement admissible spaces $X$ and $Y$, the Fourier operator is bounded between $X$ and $Y$ if and only if any operator of joint strong type $(1,\infty; 2,2)$ is also bounded between $X$ and $Y$. By…

经典分析与常微分方程 · 数学 2025-01-30 Miquel Saucedo , Sergey Tikhonov

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

高能物理 - 理论 · 物理学 2009-09-25 N. Mebarki , A. Maireche

We completely characterize the boundedness of the area operators from the Bergman spaces $A^p_\alpha(\mathbb{B}_ n)$ to the Lebesgue spaces $L^q(\mathbb{S}_ n)$ for all $0<p,q<\infty$. For the case $n=1$, some partial results were…

复变函数 · 数学 2021-03-05 Xiaofen Lv , Jordi Pau , Maofa Wang

The paper has been withdrawn by the author.

辛几何 · 数学 2012-06-19 Leonid Polterovich

This paper was removed by arXiv admin because it plagiarizes the electronic article HYKE 2005-010 (http://www.hyke.org/preprint/index.php), by Jose-A. Carrillo and Lucas C.f. Ferreira, entitled "Self-similar solutions and large time…

偏微分方程分析 · 数学 2007-05-23 Sadek Gala

In this paper, we characterize the multiple operator integrals mappings which are bounded on the Haagerup tensor product of spaces of compact operators. We show that such maps are automatically completely bounded and prove that this is…

泛函分析 · 数学 2019-08-22 Clément Coine

In this paper, we give several characterizations for the boundedness of multilinear Rihaczek distributions acting from Wiener amalgam spaces to modulation and Fourier modulation spaces. Moreover, we establish the crucial self-improvement…

泛函分析 · 数学 2024-10-08 Weichao Guo , Guoping Zhao

This paper is a follow up of [6]. We investigate the boundedness of the bilinear fractional integral operator introduced by Grafakos in [3]. When the local integrability index $s$ falls 1 with weights and $t$ exceeds 1, He and Yan obtained…

泛函分析 · 数学 2019-05-27 Naoya Hatano

This manuscript (hep-th/9906140v1) is incomplete. Please read instead S. D. G{\l}azek, T. Mas{\l}owski, Renormalized Poincar\'e algebra for effective particles in quantum field theory, Phys.Rev. D65 (2002) 065011, (hep-th/0110185).

高能物理 - 理论 · 物理学 2007-07-01 Tomasz Masłowski , Stanisław D. Głazek

Boundedness of weighted composition operators $W_{u,\varphi}$ acting on the classical Dirichlet space $\mathcal{D}$ as $W_{u,\varphi}f= u\, (f\circ \varphi)$ is studied in terms of the multiplier space associated to the symbol $\varphi$,…

泛函分析 · 数学 2015-03-05 I. Chalendar , E. A. Gallardo-Gutiérrez , J. R. Partington

In a previous work, "compact versions" of Rubio de Francia's weighted extrapolation theorem were proved, which allow one to extrapolate the compactness of an linear operator from just one space to the full range of weighted Lebesgue spaces,…

泛函分析 · 数学 2022-06-24 Stefanos Lappas

The goal of this paper is to unify the theory of weights beyond the setting of weighted Lebesgue spaces in the general setting of quasi-Banach function spaces. We prove new characterizations for the boundedness of singular integrals, pose…

泛函分析 · 数学 2025-09-16 Zoe Nieraeth

This paper has been withdrawn by the author; a revised version is part of the author's phd-thesis "Quasi-logarithmic structures" (Zurich, 2007).

组合数学 · 数学 2008-06-29 Bruno Nietlispach

In this paper we investigate the boundedness of classical operators, namely the Hardy-Littlewood maximal operator, fractional integral operators, and Calderon-Zygmund operators, on generalized weighted Morrey spaces and generalized weighted…

泛函分析 · 数学 2022-07-14 Yusuf Ramadana , Hendra Gunawan

In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the proof of the necessary part for the boundedness of…

泛函分析 · 数学 2018-05-11 Inyoung Park

The transition between a Minkowski space region and a parity breaking medium domain is thoroughly discussed. The requirement of continuity of the field operator content across the separating boundary of the two domains leads to Bogolyubov…

高能物理 - 理论 · 物理学 2017-05-03 A. A. Andrianov , S. S. Kolevatov , R. Soldati

We characterize bounded multiplication operators in weighted Dirichlet spaces that are power bounded, Ces\`{a}ro bounded and uniformly Kreiss. Moreover, we show the equivalence in such spaces between mean ergodicity and Ces\`{a}ro…

复变函数 · 数学 2025-03-06 Antonio Bonilla , Daniel Seco

In this paper, we study the boundedness of a class of fractional integrals and derivatives associated with Laguerre polynomial expansions on Laguerre Lipschitz spaces. The consideration of such operators is motivated by the study of…

偏微分方程分析 · 数学 2024-08-20 He Wang , Jizheng Huang , Yu Liu