Results 71 to 80 of about 390 (267)
Weighted $L^p$-boundedness of Fourier series with respect to generalized Jacobi weights
Publicacions Matemàtiques, 1991 Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote the n-th partial sum of the Fourier series of f in the orthogonal polynomials associated to w. We prove a result about uniform boundedness of the operators Sn in some weighted Lp spaces.
Guadalupe Hernández, José Javier +3 more
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On the boundedness of operators in LP(ιq) and Triebel-Lizorkin Spaces
Journal of Function Spaces and Applications, 2008 Given a bounded linear operator T:LPO(ℝn)→Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn;ιq) spaces and Triebel-Lizorkin spaces Fp,qs(ℝn).
João Pedro Boto
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Karpatsʹkì Matematičnì Publìkacìï, 2015 In this paper we prove that the condition $\sum_{k=\left[\frac{n}{2}\right] }^{2n}\frac{\lambda _{k}(p)}{(|n-k|+1)^{2-p}}=o(1)\, \left(=O(1) \right),$ is a necessary condition for the $L^{p ...
Xh.Z. Krasniqi
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Advanced Materials, EarlyView.A cholesterol‐conjugated lipid library enabled the identification of a ligand‐free LNP platform for efficient mRNA delivery to brain endothelial cells via systemic administration. This platform achieves selective BBB targeting without disrupting barrier integrity, and enables modulation of neuroinflammation and vascular function without requiring trans‐
Zeru Tian +7 more
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Endpoint Estimates for a Class of Littlewood-Paley Operators with Nondoubling Measures
Journal of Inequalities and Applications, 2009 Let μ be a positive Radon measure on ℝd which may be nondoubling. The only condition that μ satisfies is μ(B(x,r))≤C0rn for all x∈ℝd, r>0, and some fixed constant C0. In this paper, we introduce the
Qingying Xue, Juyang Zhang
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Advanced Materials, EarlyView.A hierarchical flexible ceramic nanofiber membrane integrates a La‐stabilized ZrO2 scaffold with superhydrophobic UiO‐66‐NH2/CdS heterojunctions. The gas–liquid–solid interfacial architecture sustains vapor‐selective desalination, visible‐light charge separation, and rapid H2 extraction, enabling simultaneous freshwater production and photocatalytic ...
Pengfei Lin +9 more
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The weighted Lp-boundedness of product-type pseudodifferential operators
Advances in Mathematics, 1989 The author considers non-regular simple and double symbols satisfying estimates of \(S^ 0_{1,\delta}\)-type, and gives new conditions on the smoothness of the symbols, which are sufficient for the unweighted \(L^ p\)-boundedness of the associated pseudodifferential operators. The above conditions are shown to be sufficient for the boundedness on \(L^ r(
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Lp boundedness of some rough operators with different weights
Journal of the Mathematical Society of Japan, 2003 If \(\Omega\) is a homogeneous function of degree zero on \(\mathbb{R}^n\) (\(n \geq 2\)), then the maximal operator \(M_{\Omega}\) and the singular integral \(T_{\Omega}\) are defined, respectively, by \[ M_{\Omega} f(x) = \sup_{r>0} \frac{1}{r^n}\int_{|x-y |1\), then \(M_{\Omega}\) is bounded on weighted spaces \(L^p (w)\) for ...
DING, Yong, LIN, Chin-Cheng
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Partial integral operators with weak singularity
Современная математика: Фундаментальные направленияWe study a partial integral operator with a weak singularity in Rn in the anisotropic space of continuous functions with values in the space Lp, p ∈ (1,∞). We prove theorems on the uniform boundedness and equicontinuity of the operator under study. These
I. V. Barysheva +2 more
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Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator
Abstract and Applied Analysis, 2010 We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2.
Emin V. Guliyev, Yagub Y. Mammadov
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