On the WM Points of OrIicz Function Spaces Endowed with Luxemburg Norm
Revista Matemática Complutense, 1995 Summary: The concept of WM point is introduced and the criterion of WM property in Orlicz function spaces endowed with Luxemburg norm is given.
Wang, Tingfu, Hao, Cuixia, Li, Minli
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Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence
Journal of Inequalities and Applications, 2008 We introduce new sequence space involving lacunary sequence connected with Cesaro sequence space and examine some geometric properties of this space equipped with Luxemburg norm.
Vatan Karakaya
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Commutators of singular integrals on generalized $L^p$ spaces with variable exponent [PDF]
, 2004 A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized $L^p$ spaces with variable exponent.Comment: 13 ...
Karlovich, Alexei Yu., Lerner, Andrei K.
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Packing Constant in Musielak-Orlicz Sequence Spaces Equipped with the Luxemburg Norm
Revista Matemática Complutense, 1994 Summary: A more precise formula for the Kottman parameter \(D(X)\) connected with the packing constant \(\Lambda(X)\) in such a way that \(\Lambda(X)= D(X)/(2+ D(X))\) for a Banach space \(X\), in the case when \(X\) is a Musielak-Orlicz sequence space \(\ell^ \varphi\), is given. As a corollary, the packing constant of the Nakano space \(\ell^{(p_ i)}\
Hudzik, Henryk, Wu, Congxin, Ye, Yining
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Moduli and Characteristics of Monotonicity in Some Banach Lattices
Fixed Point Theory and Applications, 2010 First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec +3 more
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Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
, 2017 Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
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A mass transportation approach for Sobolev inequalities in variable exponent spaces [PDF]
, 2015 In this paper we provide a proof of the Sobolev-Poincar\'e inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that the method is exible enough to deal with different inequalities.
Bonder, Julián Fernández +2 more
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Weighted inequalities and applications to best local approximation in Luxemburg norm
Analysis in Theory and Applications, 2004 The authors use the following notation: \({I_\epsilon:=\{x\in{\mathbb R}^k:\;-\epsilon\leq x_i\leq\epsilon\} }\), \(B_\epsilon\) is the closed ball of radius \(\epsilon\) centered at \(0\), \(\Pi^r\) denotes the set of polynomials of degree at most \(r\). A function \(w\) is a weight function if it is positive a.e.
Cuenya, H. H. +2 more
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A unified framework for utility maximization problems: An Orlicz space approach [PDF]
, 2008 We consider a stochastic financial incomplete market where the price processes are described by a vector-valued semimartingale that is possibly nonlocally bounded.
Biagini, Sara, Frittelli, Marco
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The Daugavet property in the Musielak-Orlicz spaces
, 2014 We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
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