Results 81 to 90 of about 4,440 (181)
Triangular maximal operators on locally finite trees
Abstract We introduce the centred and the uncentred triangular maximal operators T$\mathcal {T}$ and U$\mathcal {U}$, respectively, on any locally finite tree in which each vertex has at least three neighbours. We prove that both T$\mathcal {T}$ and U$\mathcal {U}$ are bounded on Lp$L^p$ for every p$p$ in (1,∞]$(1,\infty]$, that T$\mathcal {T}$ is also
Stefano Meda, Federico Santagati
wiley +1 more source
On certain estimates for Marcinkiewicz integrals and extrapolation
Let \(\mathbb R^n\), \(n\geq2\), be the \(n\)-dimensional Euclidean space and \(S^{n-1}\) be the unit sphere in \(\mathbb R^n\) with area element \(d\sigma(x')\) on \(S^{n-1}\). Let \(\Omega(x)|x|^{-n}\) be a homogeneous function of degree \(-n\) on \(\mathbb R^n\), with \(\Omega\in L^1(S^{n-1})\) and \(\int_{S^{n-1}}\Omega(x')\,d\sigma(x')=0\), where \
Al-Qassem, Hussain, Pan, Yibiao
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Graphical Abstract: We used single‐cell transcriptomics to explore cell type and neuronal class diversity, and in situ hybridization chain reaction to view expression in the brain of the nudibranch mollusc, Berghia stephanieae. Gene markers for nudibranch neurons and glia were found.
M. Desmond Ramirez +2 more
wiley +1 more source
L p Estimates for Marcinkiewicz integral operators and extrapolation [PDF]
In this article, we establish estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC:40B20, 40B15, 40B25.
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Summary This paper introduces a novel panel approach to structural vector autoregressive analysis. For identification, we impose independence of structural innovations at the pooled level. We demonstrate robustness of the method under cross‐sectional correlation and heterogeneity through simulation experiments.
Helmut Herwartz, Shu Wang
wiley +1 more source
考虑下述乘积空间上的Marcinkiewicz积分算子当零次齐次函数Ω(x,y) ∈ L(log+L)2(Sn-1 × Sm-1),0 ≤ α,β< ∞,且满足一定的消失性,则对于任意的1
JIANGLi-ya(姜丽亚)
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Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces
Let (X,d,μ) be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytönen. The aim of this paper is to establish the boundedness of commutator Mb generated by the Marcinkiewicz integral M ...
Guanghui Lu, Shuangping Tao
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类似Plauszynski相应定理的证明方法,研究了Marcinkiewicz交换子Cb在Triebel-Lizorkin空间的有界性质,得到如下结果 ...
CHENDong-xiang(陈冬香) +1 more
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Let L = − Δ + V $L=-\Delta+V$ be a Schrödinger operator, where Δ is the Laplacian on R n $\mathbb{R}^{n}$ and the non-negative potential V belongs to the reverse Hölder class RH q $\mathit{RH}_{q}$ for q ≥ n / 2 $q \ge n/2$ .
Ali Akbulut +2 more
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Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces
The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling ...
Guanghui Lu, Shuangping Tao
doaj +1 more source

