Results 71 to 80 of about 8,592 (167)

Continuity of sublinear operators on F-spaces

Manuscripta Mathematica, 1978
In this note, some of the fundamental theorems concerning the automatic continuity of positive linear functionals and positive linear operators (see [9,14,21]) as well as certain uniform boundedness type theorems (see [5,13,15,19]) will be extended to derive various continuity properties of (even discontinuous) sublinear operators from some metrizable ...
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Estimates for a class of sublinear integral operators

Doklady Mathematics, 2014
[No abstract available]
Prokhorov D.V., Stepanov V.D.
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Global asymptotic stability of inhomogeneous iterates

International Journal of Mathematics and Mathematical Sciences, 2002
Let (M,d) be a finite-dimensional complete metric space, and {Tn} a sequence of uniformly convergent operators on M. We study the non-autonomous discrete dynamical system xn+1=Tnxn and the globally asymptotic stability of the inhomogeneous iterates of ...
Yong-Zhuo Chen
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New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators

, 2013
We introduce a new class of Hardy spaces $H^{\varphi(\cdot,\cdot)}(\mathbb R^n)$, called Hardy spaces of Musielak-Orlicz type, which generalize the Hardy-Orlicz spaces of Janson and the weighted Hardy spaces of Garc\'ia-Cuerva, Str\"omberg, and ...
Ky, Luong Dang
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Weighted anisotropic product Hardy spaces and boundedness of sublinear operators

Mathematische Nachrichten, 2010
AbstractLet A1 and A2 be expansive dilations, respectively, on ℝn and ℝm. Let A ≡ (A1, A2) and 𝒜p(A) be the class of product Muckenhoupt weights on ℝn × ℝm for p ∈ (1, ∞]. When p ∈ (1, ∞) and w ∈ 𝒜p(A), the authors characterize the weighted Lebesgue space Lp w(ℝn × ℝm) via the anisotropic Lusin‐area function associated with A. When p ∈ (0, 1], w ∈ 𝒜∞(A)
Bownik, Marcin, Li, Baode, Yang, Dachun, Zhou, Yuan   +3 more
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Positive solutions of second-order problem with dependence on derivative in nonlinearity under Stieltjes integral boundary condition

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper, we investigate the second-order problem with dependence on derivative in nonlinearity and Stieltjes integral boundary condition \begin{equation*} \begin{cases}-u''(t)=f(t,u(t),u'(t)),\quad t\in[0,1],\\ u(0)=\alpha[u],\quad u'(1)=0,\end ...
Juan Zhang, Guowei Zhang, Hongyu Li
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Continuity of weighted estimates for sublinear operators

, 2012
In this note we prove that if a sublinear operator T satisfies a certain weighted estimate in the $L^{p}(w)$ space for all $w\in A_{p ...
Papadimitrakis, Michael, Pattakos, Nikolaos   +1 more
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A modification of Hardy-Littlewood maximal function on Lie groups [PDF]

AUT Journal of Mathematics and Computing
For a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
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Lepskii Principle in Supervised Learning

, 2019
In the setting of supervised learning using reproducing kernel methods, we propose a data-dependent regularization parameter selection rule that is adaptive to the unknown regularity of the target function and is optimal both for the least-square ...
Blanchard, Gilles, Mathé, Peter, Mücke, Nicole   +2 more
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On a conic approach to convex analysis. [PDF]

. The aim of this paper is to make an attempt to justify the main results from Convex Analysis by one elegant tool, the conification method, which consists of three steps: conify, work with convex cones, deconify.
Brinkhuis, J.
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