Results 91 to 100 of about 5,398,923 (220)
Journal of Inequalities and Applications, 2011 Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
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INTERPOLATION OF ORLICZ-VALUED FUNCTION-SPACES AND UMD PROPERTY
, 2015 We show that a variant of an interpolation functor introduced by J. Gustavsson and J. Peetre commutes with L(p). As a consequence, reflexive Orlicz spaces as well some other function spaces modeled on Orlicz spaces (e.g. Orlicz-Besov-Hardy-Sobolev spaces
GARCIA, JB, FERNANDEZ, DL
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On the WM property of Orlicz sequence spaces endowed with the Orlicz norm [PDF]
, 1997 summary:We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz ...
Cuixia, Hao +2 more
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On the dual of Orlicz-Lorentz space
, 2002 A description of the Köthe dual of the Orlicz-Lorentz space Λφ,ω generated by an Orlicz function φ and a regular weight function w is presented. It is also shown that in the case of separable Orlicz-Lorentz spaces the regularity condition on w is ...
Kamińska, A. +5 more
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$P$-strong convergence with respect to an Orlicz function
Turkish Journal of Mathematics, 2022 The concepts of strong convergence, statistical convergence, and uniform integrability are of some interest in convergence theories. Recently Ünver and Orhan [19] have introduced the concepts of $P$-strong and $P$-statistical convergences with the help of power series methods and established a relationship between them.
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Monotonicity in Modular Function Spaces Equipped with O-norm
Journal of Harbin University of Science and TechnologyModular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
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Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm
, 1983 H. Milnes gave in (Pacific J. Math. 18 (1957), 1451–1483) a criterion for strict convexity of Orlicz spaces with respect to the so called Orlicz norm, in the case of nonatomic measure and a usual Young function.
Kamińska, A.
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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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Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces
Journal of Inequalities and Applications, 2016 In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz +2 more
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On approximation by rational functions in Musielak–Orlicz spaces
Journal of Approximation TheoryThe authors extend the results from [\textit{W. M. Kozlowski}, J. Approx. Theory 264, Article ID 105535, 14 p. (2021; Zbl 1462.41015); Appl. Set-Valued Anal. Optim. 4, No. 3, 337--348 (2022; \url{doi:10.23952/asvao.4.2022.3.07})] to the problem of best approximation by rational functions in a larger class of Musielak-Orlicz spaces of real-valued ...
Kozlowski WM, Vinti G
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