Results 71 to 80 of about 7,644 (191)
Zhejiang Daxue xuebao. Lixue ban, 2003 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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GEOMETRY AND ANALYTIC BOUNDARIES OF MARCINKIEWICZ SEQUENCE SPACES
The Quarterly Journal of Mathematics, 2009 We investigate the geometric structure of the unit ball of the Marcinkiewicz sequence space mΨ, giving characterisations of its real and complex extreme points and of the exposed points in terms of the symbol Ψ. Using our knowledge of the geometry of m0Ψ we then give necessary and sufficient conditions for a subset of m0Ψ to be a boundary for Au(Bm0Ψ),
Boyd, Christopher +1 more
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ESTIMATES FOR MARCINKIEWICZ INTEGRALS IN BMO AND CAMPANATO SPACES [PDF]
Glasgow Mathematical Journal, 2007 AbstractIn this paper, the authors consider the behavior on BMO($\mathbb R^n$) and Campanato spaces for the higher-dimensional Marcinkiewicz integral operator which is defined by where Ω is homogeneous of degree zero, has mean value zero and is integrable on the unit sphere.
Hu, Guoen, Meng, Yan, Yang, Dachun
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On noncommutative distributional Khintchine type inequalities
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
wiley +1 more source
Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces
Journal of Function Spaces, 2015 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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Elliptic equations involving general subcritical source nonlinearity and measures [PDF]
, 2014 In this article, we study the existence of positive solutions to elliptic equation (E1) $$(-\Delta)^\alpha u=g(u)+\sigma\nu \quad{\rm in}\quad \Omega,$$ subject to the condition (E2) $$u=\varrho\mu\quad {\rm on}\quad \partial\Omega\ \ {\rm if}\ \alpha=1 ...
Chen, Huyuan +2 more
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Triangular maximal operators on locally finite trees
Mathematika, Volume 70, Issue 3, July 2024.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
Boundedness of higher-order Marcinkiewicz-Type integrals
International Journal of Mathematics and Mathematical Sciences, 2006 Let A be a function with derivatives of order m and DγA∈Λ˙β ...
Shanzhen Lu, Huixia Mo
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Boundary Value Problems, 2017 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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Primarity of direct sums of Orlicz spaces and Marcinkiewicz spaces [PDF]
Banach Journal of Mathematical Analysis, 2020 Let $\mathbb{Y}$ be either an Orlicz sequence space or a Marcinkiewicz sequence space. We take advantage of the recent advances in the theory of factorization of the identity carried on in [R. Lechner, Subsymmetric weak* Schauder bases and factorization of the identity, arXiv:1804.01372 [math.FA]] to provide conditions on $\mathbb{Y}$ that ensure that,
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