Representation on additive functionals of Musielak-Orlicz space of vector-valued functions [PDF]
Kodai Mathematical Journal, 1987 Let (T,\(\Sigma\),\(\mu)\) be a space with a complete, and \(\sigma\)-finite measure and X be a real separable Banach space. Moreover, let \(E_ M\) be a subspace of finite elements of non-solid Musielak-Orlicz space \(L_ M\) of functions with values in the space X.
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Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions [PDF]
Integral Equations and Operator Theory, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitsuo Izuki +2 more
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Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm [PDF]
, 1992 summary:In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space.
Henryk Hudzik +3 more
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P-convexity of Musielak Orlicz function spaces of Bochner type
Revista Matemática Complutense, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolwicz, Paweł, Płuciennik, Ryszard
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Trudinger's inequality for Riesz potentials of functions in Musielak–Orlicz spaces
Bulletin des Sciences Mathématiques, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ohno, Takao, Shimomura, Tetsu
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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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Boundedness of intrinsic Littlewood--Paley functions on Musielak--Orlicz Morrey and Campanato spaces [PDF]
Banach Journal of Mathematical Analysis, 2014 47pages, Banach J. Math. Anal. (to appear)
Liang, Yiyu +3 more
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The fixed point property in Musielak-Orlicz sequence spaces [PDF]
, 2001 summary:In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point.
Cui, Yunan, Thompson, H. Bevan
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The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 Let uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala +2 more
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LUSIN AREA FUNCTION AND MOLECULAR CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES AND THEIR APPLICATIONS [PDF]
Communications in Contemporary Mathematics, 2013 Let φ : ℝn× [0,∞) → [0,∞) be a growth function such that φ(x, ⋅) is nondecreasing, φ(x, 0) = 0, φ(x, t) > 0 when t > 0, limt→∞φ(x, t) = ∞, and φ(⋅, t) is a Muckenhoupt A∞(ℝn) weight uniformly in t. In this paper, the authors establish the Lusin area function and the molecular characterizations of the Musielak–Orlicz Hardy space Hφ(ℝn) introduced ...
Hou, Shaoxiong +2 more
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