Results 71 to 80 of about 14,381 (242)
Two properties of norms in Orlicz spaces
Le Matematiche, 2001 A characterization of inclusion between L^p-spaces is well-known. Here we present an analogous characterization for Orlicz spaces. To this aim we use some definitions of Orlicz and Luxemburg norm that are a little bit general then usual. Also this allows
Andrea Caruso
doaj
The exact values of nonsquare constants for a class of Orlicz spaces [PDF]
Opuscula Mathematica, 2005 We extend the \(M_{\triangle}\)-condition from [Han J.,Li X.: On Exact Value of Packing for a Class of Orlicz Spaces. (Chinese), Journal of Tongji Univ. 30 (2002) 7, 895–899] and introduce the \(\Phi_{\triangle}\)-condition at zero.
Jincai Wang
doaj
Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions
Axioms, 2023 The metrical boundedness and metrical compactness of a new operator from the weighted Bergman-Orlicz spaces to the weighted-type spaces and little weighted-type spaces of analytic functions are characterized.
Stevo Stević
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Smoothness of the Orlicz norm in Musielak–Orlicz function spaces [PDF]
Mathematische Nachrichten, 2013 In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Charles Casimiro Cavalcante +1 more
openaire +3 more sources
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
Mixed weak‐type inequalities in Euclidean spaces and in spaces of the homogeneous type
Mathematische Nachrichten, Volume 297, Issue 4, Page 1370-1406, April 2024.Abstract In this paper, we provide mixed weak‐type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties is that, besides obtaining estimates in the Euclidean setting, results are provided as well in spaces of the ...
Gonzalo Ibañez‐Firnkorn +1 more
wiley +1 more source
𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization.
Benoît Florent Sehba
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Journal of the London Mathematical Society, Volume 109, Issue 3, March 2024.Abstract In a smoothly bounded two‐dimensional domain Ω$\Omega$ and for a given nondecreasing positive unbounded ℓ∈C0([0,∞))$\ell \in C^0([0,\infty))$, for each K>0$K>0$ and η>0$\eta >0$ the inequality ∫Ωφlnφ⩽η∫Ω|∇φ|2φ2+C(K,η)$$\begin{eqnarray*} \hspace*{140pt} \int _\Omega \varphi \ln \varphi \leqslant \eta \int _\Omega \frac{|\nabla \varphi|^2 ...
Yulan Wang, Michael Winkler
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Orlicz Function Spaces and Composition Operator [PDF]
, 2013 In our dissertation we present here the salient features from the theory of Orlicz function spaces, LÖ(Ù), generated by the Young’s function Ö on an arbitrary ó−finite measurable spaces Ù.
Giri, Chinmay Kumar
core
Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
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