Results 41 to 50 of about 105 (87)
Local uniform non-squareness of Orlicz–Lorentz function spaces [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019 The authors present criteria for local uniform non-squareness of Orlicz-Lorentz function spaces \(\Lambda _{\varphi ,\omega }[0,\gamma )\) with \(\gamma \leq \infty ,\) where \(\varphi \) is an Orlicz function and \(\omega \) is a nonnegative weight.
Paweł Foralewski, Joanna Kończak
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New results in analysis of Orlicz-Lorentz spaces
Advances in Mathematics38 ...
Bernal-González, Luis +3 more
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Isomorphic $\ell ^p$-subspaces in Orlicz-Lorentz sequence spaces [PDF]
Proceedings of the American Mathematical Society, 2006 Summary: Given a decreasing weight \(w\) and an Orlicz function \(\varphi\) satisfying the \(\Delta_2\)-condition at zero, we show that the Orlicz--Lorentz sequence space \( d(w,\varphi)\) contains an \((1+\epsilon)\)-isomorphic copy of \(\ell_p,\) \(1\leq ...
Kaminska, Anna, Raynaud, Yves
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On Köthe duals of Orlicz-Lorentz spaces
In this article, we study a number of properties of the Köthe duals $\mathcal{M}_{φ,w}$ of Orlicz-Lorentz spaces. An explicit description of the order-continuous subspace of $\mathcal{M}_{φ,w}$ is provided. Moreover, the separability of these spaces is characterized by the growth condition $Δ_2$.
Kamińska, Anna, Tag, Hyung-Joon
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Complete paranormed Orlicz Lorentz sequence spaces over n -normed spaces
Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anand, Renu, Raj, Kuldip
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A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]
Rev Mat Complut, 2023 Comi GE, Stefani G.
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Boyd Indices of Orlicz-Lorentz Space
, 1994 Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. In this paper, we investigate their Boyd indices. Bounds on the Boyd indices in terms of the Matuszewska-Orlicz indices of the defining functions are given. Also, we give an example to show that the Boyd indices and Zippin indices of an Orlicz-Lorentz space need ...
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$M$-ideal properties in Orlicz-Lorentz spaces
, 2017 We provide explicit formulas for the norm of bounded linear functionals on Orlicz-Lorentz function spaces $Λ_{φ,w}$ equipped with two standard Luxemburg and Orlicz norms. Any bounded linear functional is a sum of regular and singular functionals, and we show that the norm of a singular functional is the same regardless of the norm in the space, while ...
Kamińska, Anna +2 more
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PACKING CONSTANTS IN ORLICZ-LORENTZ SEQUENCE SPACES
Taiwanese Journal of Mathematics, 2011 We discussed the upper and lower bounds of packing constants in Orlicz-Lorentz sequence spaces equipped with both the Luxemburg norm and the Orlicz norm. Provided $\Phi\in\Delta_2(0)$, we showed that the Kottman constant of $\lambda_{\Phi,\omega}$ and $\lambda^o_{\Phi,\omega}$ satisfies $$\max\left\{\frac{1}{\alpha_\Phi(0)}, \frac{1}{\alpha'_{\Phi,\
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Traces, ideals, and arithmetic means. [PDF]
Proc Natl Acad Sci U S A, 2002 Kaftal V, Weiss G.
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