Results 21 to 30 of about 238 (112)

A new existence result for some nonlocal problems involving Orlicz spaces and its applications

Boundary Value Problems, 2022
This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
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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
openaire   +3 more sources

Poincaré Inequalities with Luxemburg Norms in Lφ(m)-Averaging Domains [PDF]

Journal of Inequalities and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Property ( k) of Orlicz Sequence Spaces

Journal of Harbin University of Science and Technology, 2017
Property ( k) is an important geometric property in Banach spaces，and it is closely associated with fixed point property． By the geometric theory of Banach spaces and Orlicz spaces， we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
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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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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, Radosław Kaczmarek, Henryk Hudzik, Paweł Foralewski   +3 more
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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
openaire   +3 more sources

Uniformly Normal Structure of Orlicz Function Spaces Equipped with the p-Amemiya Norm

Journal of Harbin University of Science and Technology
In this paper, we mainly investigate the uniformly normal structure of Orlicz function spaces equipped with the p-Amemiya norm. A necessary and sufficient condition for Orlicz function spaces equipped with the p-Amemiya norm to have a uniformly normal
ZUO Mingxia, XU Zeyu
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Contractive projections in Orlicz sequence spaces

Abstract and Applied Analysis, 2004
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
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On Some Geometric Properties of a New Paranormed Sequence Space

Journal of Function Spaces, 2014
We introduce a new sequence space which is defined by the operator W=(wnk) on the sequence space ℓ(p). We define a modular functional on this space and investigate structure of this space equipped with Luxemburg norm.
Vatan Karakaya, Fatma Altun
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