Results 121 to 130 of about 5,148,140 (146)

Points of monotonicity in Musielak-Orlicz function spaces endowed with the Luxemburg norm

Archiv der Mathematik, 2004
For a Banach function lattice \(X\) with the cone \(X^+\) of its positive elements, let \(S(X^+)= S(X)\cap X^+\), \(S(X)\) being the unit sphere in \(X\). Let \(L_M\) be a Musielak-Orlicz space with Luxemburg norm and \(E_M\) the subspace of finite elements of \(L_M\).
Hudzik, H., Liu, X. B., Wang, T. F.
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Type and Cotype of Musielak–Orlicz Sequence Spaces [PDF]

Journal of Mathematical Analysis and Applications, 1998
Let φ=(φn) be a Musielak–Orlicz function andlφthe Musielak–Orlicz sequence space generated by φ. It is shown that φ satisfies condition δqiff φ is equivalent to aq-concave function ψ=(ψn).
Katirtzoglou, Eleni
exaly   +2 more sources

Local integrability of $$G(\cdot )$$-superharmonic functions in Lebesgue and Musielak–Orlicz spaces

Journal of Elliptic and Parabolic Equations, 2023
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Eddaoudi, Hicham, Khlifi, Ismail, Benyaiche, Allami   +2 more
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Maximal Function Characterizations of Musielak-Orlicz Hardy Spaces

2017
In this chapter, we establish some real-variable characterizations of \(H^{\varphi }(\mathbb{R}^{n})\) in terms of the vertical or the non-tangential maximal functions, via first establishing a Musielak-Orlicz Fefferman-Stein vector-valued inequality.
Dachun Yang, Yiyu Liang, Luong Dang Ky
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Uniform Gateaux differentiability and weak uniform rotundity of Musielak–Orlicz function spaces

Nonlinear Analysis: Theory, Methods & Applications, 2004
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Fang, Liu Li, Fu, Wang Ting, Hudzik, Henryk   +2 more
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SOME LACUNARY DIFFERENCE SEQUENCE SPACES DEFINED BY MUSIELAK–ORLICZ FUNCTIONS

Asian-European Journal of Mathematics, 2011
In this article we introduce the lacunary difference sequence spaces defined by Musielak–Orlicz functions and study their algebraic and topological properties. Also we obtain some relations related to these spaces.
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Gagliardo–Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces

Archiv der Mathematik, 2012
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Mizuta, Yoshihiro, Nakai, Eiichi, Sawano, Yoshihiro, Shimomura, Tetsu   +3 more
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Conditions for compactness of integral operator on Musielak--Orlicz space of vector-valued functions

Publicationes Mathematicae Debrecen, 2022
The author gives a criterion for compactness of a class of integral operators on Musielak-Orlicz space of vector-valued function and a theorem on the existence of solutions of integral equations of Hammerstein type in Musielak-Orlicz space.
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Intrinsic Square Function Characterizations of Musielak-Orlicz Hardy Spaces

2017
In this chapter, for any α ∈ (0, 1] and \(s \in \mathbb{Z}_{+}\), we establish the s-order intrinsic square function characterizations of \(H^{\varphi }(\mathbb{R}^{n})\) by means of the intrinsic Lusin area function S α, s , the intrinsic g-function g α, s or the intrinsic g λ ∗-function g λ, α, s ∗ with the best known range λ ∈ (2 + 2(α + s)∕n ...
Dachun Yang, Yiyu Liang, Luong Dang Ky
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On some generalized spaces of interval numbers with an infinite matrix and Musielak-Orlicz function

2016
Summary: In the present paper we introduce and study some generalized \(I\)-convergent sequence spaces of interval numbers defined by an infinite matrix and a Musielak-Orlicz function. We also make an effort to study some topological and algebraic properties of these spaces.
Raj, Kuldip, Pandoh, Suruchi
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