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Related papers: On the boundedness the Marcinkiewicz operator on m…

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It is shown that if a metric space exhibits certain finiteness and tree-like properties, then elements of its group of bounded displacement which are infinitely divisible are also torsion. This extends a result of N. M. Suchkov, A. A.…

Group Theory · Mathematics 2025-05-06 Samuel M. Corson

In this paper, we prove the boundedness of multilinear fractional integral operators from products of Hardy spaces associated with ball quasi-Banach function spaces into their corresponding ball quasi-Banach function spaces. As…

Functional Analysis · Mathematics 2025-04-01 Jian Tan

This paper has been withdrawn, and is replaced with paper "Solvability of elliptic systems with square integrable boundary data" by the same authors.

Analysis of PDEs · Mathematics 2008-09-29 Pascal Auscher , Andreas Axelsson , Alan McIntosh

We consider Marcinkiewicz multipliers of any lacunary order defined by means of uniformly bounded variation on each lacunary Littlewood--Paley interval of some fixed order $\tau\geq 1$. We prove the optimal endpoint bounds for such…

Classical Analysis and ODEs · Mathematics 2024-09-25 Odysseas Bakas , Valentina Ciccone , Ioannis Parissis , Marco Vitturi

In this paper, we will study the boundedness properties of multilinear Calderon--Zygmund operators and multilinear fractional integrals on products of weighted Morrey spaces with multiple weights.

Classical Analysis and ODEs · Mathematics 2013-03-20 Hua Wang , Wentan Yi

This paper has been withdrawn by the author because similar published work on the topic was overlooked. See S. Deser and A. Waldron, Nucl. Phys. B 631, 369-387 (2002).

High Energy Physics - Theory · Physics 2007-12-15 Teymour Darkhosh

This article has been withdrawn by arXiv administrators because it plagiarises http://www2.ece.ohio-state.edu/~ekici/papers/crnroutingsurvey.pdf

Networking and Internet Architecture · Computer Science 2010-10-22 S. M. Kamruzzaman , Dong Geun Jeong

This paper has been withdrawn by the author due to a mistake in the section 4.

Complex Variables · Mathematics 2013-04-30 Su-Jen Kan

In this paper, Mikhlin and Marcinkiewicz--Lizorkin type operator-valued multiplier theorems in weighted Lebesgue-Bochner spaces are studied. By using this results embedding theorems in Sobolev-Lions type spaces is obtained. Moreover,…

Functional Analysis · Mathematics 2017-06-06 Veli Shakhmurov

This paper is withdrawn by the author. It is superseded by Makhlin's paper quant-ph/0002045.

Quantum Physics · Physics 2007-05-23 Anthony Sudbery

This paper has been withdrawn by the author due to some error in the result

Functional Analysis · Mathematics 2010-11-23 Daewon Chung

A characterisation is given of bounded embeddings from weighted $L^2$ spaces on bounded intervals into $L^2$ spaces on the half-plane, induced by isomorphisms given by the Laplace transform onto weighted Hardy and Bergman spaces (Zen…

Functional Analysis · Mathematics 2020-05-21 Jonathan R. Partington , Sandra Pott , Radoslaw Zawiski

This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0303034, "The energy of the universe in teleparallel gravity," by T. Vargas; and Gen relativ. Grav. 37(6) 1151-1152 (2005), "The taub solution again," by…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Murat Korunur

This paper has been removed by the author due to a misstatement in Theorem 1 and a gap in its proof. A corrected and largely extended successor (a joint work with Thomas Bauer and Tomasz Szemberg) can be found under math.AG/0312211,

Algebraic Geometry · Mathematics 2007-05-23 Alex Kuronya

Using the technique of Gabor analysis, an equivalent characterization is established for the boundedness $e^{i\Delta}: W^{p,q}_m\rightarrow W^{p,q}$, where $0<p_i,q_i\leq\infty$ and $m$ is a $v$-moderate weight. The sharp exponents for the…

Classical Analysis and ODEs · Mathematics 2023-11-27 Guoping Zhao , Weichao Guo

This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.

High Energy Physics - Theory · Physics 2007-10-16 Debashis Gangopadhyay , Rajsekhar Bhattacharyya , L. P. Singh

We prove multiplier theorems on rank one noncompact symmetric spaces which improve aspects of existing results. A common theme of our main results is that we partially drop specific assumptions on the multiplier function such as a…

Functional Analysis · Mathematics 2023-05-11 Błażej Wróbel

Let L=-{\Delta}+V(x) be a Schrodinger operator, where {\Delta} is the Laplacian on while nonnegative potential V(x) belonging to the reverse Holder class. We establish the boundedness of the commutators of Marcinkiewicz integrals with rough…

Classical Analysis and ODEs · Mathematics 2017-01-16 Ferit Gurbuz

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

Mathematical Physics · Physics 2012-08-08 Juergen Geiser , Julia Duras , Ralf Schneider , Konstantin Matyash , David Tskhakaya , O. Kalentyev

We study the global boundedness of bilinear and multilinear Fourier integral operators on Banach and quasi-Banach $L^p$ spaces, where the amplitudes of the operators are smooth or rough in the spatial variables. The results are obtained by…

Analysis of PDEs · Mathematics 2011-12-06 Salvador Rodriguez-Lopez , Wolfgang Staubach