Related papers: On the boundedness the Marcinkiewicz operator on m…
This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0212018 and gr-qc/0408043. This paper has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0505078,…
In this paper, by using the atomic decomposition theory of Hardy space and weak Hardy space, the author establishes the boundedness of parameterized Marcinkiewicz integral with variable kernel on these spaces, under the Dini condition or…
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been removed by arXiv administrators because of overlap with gr-qc/0303034 and others. This paper also has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0509047,…
Let $\mu_{\Omega,\vec{b}}$ be the multilinear commutator generalized by $\mu_{\Omega}$, the $n$-dimensional Marcinkiewicz integral with the bounded kernel, and $b_{j}\in \Osc_{\exp L^{r_{j}}}(1\le j\le m)$. In this paper, the following…
This article is concerned with the question of whether Marcinkiewicz multipliers on $\mathbb R^{2n}$ give rise to bilinear multipliers on $\mathbb R^n\times \mathbb R^n$. We show that this is not always the case. Moreover we find necessary…
In this paper, we prove the boundedness of the multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces, then we give the boundedness and weak-type $L\log L$ estimates for the commutators of multilinear…
This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0602105, gr-qc/0307010, and gr-qc/9802050.
Let $\varphi:\mathbb{R}^n\times[0,\,\infty) \rightarrow [0,\,\infty)$ satisfy that $\varphi(x,\,\cdot)$, for any given $x\in\mathbb{R}^n$, is an Orlicz function and $\varphi(\cdot\,,t)$ is a Muckenhoupt $A_\infty$ weight uniformly in…
This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.
This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0212018, gr-qc/0501002, and gr-qc/9601044. This paper has excessive overlap with the following papers also written by the authors or their collaborators:…
This paper has been withdrawn by the author because overcame by arXiv:0910.4694
Let $T$ be a linear operator that, for some $p_1\in(1,\infty)$, is bounded on $L^{p_1}(\tilde w)$ for all $\tilde w\in A_{p_1}(\mathbb R^d)$ and in addition compact on $L^{p_1}(w_1)$ for some $w_1\in A_{p_1}(\mathbb R^d)$. Then $T$ is…
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.
This paper has been withdrawn by the author in favor of a stronger result proven by the author with R. Frank and T. Weidl in arXiv:0707.0998
This paper was withdrawn by arXiv admin due to authors' misrepresentation of identity/affiliation.
This paper has been removed by arXiv administrators because it plagiarizes hep-th/0311050, gr-qc/0306101, gr-qc/9601044, gr-qc/0511106, gr-qc/0303034, and gr-qc/0212018.
This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0303009, hep-th/0405047, gr-qc/0602107, hep-th/0311050, gr-qc/0412120, gr-qc/0508005, and others. This paper has excessive overlap with the following papers…
We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.]
This paper has been removed by arXiv administrators because it plagiarizes gr-qc/0603075, 0706.3245, gr-qc/0403097, gr-qc/0404108, gr-qc/0303034, hep-th/0206052, and others. This paper has excessive overlap with the following papers also…