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Notes on commutator on the variable exponent Lebesgue spaces

Czechoslovak Mathematical Journal, 2019
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Variable exponents and grand Lebesgue spaces: Some optimal results [PDF]

open access: possibleCommunications in Contemporary Mathematics, 2015
Consider p : Ω → [1, +∞[, a measurable bounded function on a bounded set Ø with decreasing rearrangement p* : [0, |Ω|] → [1, +∞[. We construct a rearrangement invariant space with variable exponent p* denoted by [Formula: see text]. According to the growth of p*, we compare this space to the Lebesgue spaces or grand Lebesgue spaces.
FIORENZA, ALBERTO   +2 more
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Simultaneous Approximations in Banach Space-Valued Bochner–Lebesgue Spaces with Variable Exponent

Numerical Functional Analysis and Optimization, 2018
Let be a σ-finite positive measure space and let X be a Banach space. Denote the X-valued Bochner–Lebesgue spaces with variable exponent where be a μ measurable function on A and take values in We establish some N-simultaneous proximinality results of in
Haihua Wei, Jingshi Xu
semanticscholar   +1 more source

Interpolation inequalities for derivatives in variable exponent Lebesgue–Sobolev spaces

Nonlinear Analysis: Theory, Methods & Applications, 2008
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Zang, Aibin, Fu, Yong
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Lebesgue points in variable exponent spaces

2004
The concept of Lebesgue points in variable exponent Lebesgue and Sobolev spaces is studied. For Lebesgue spaces \(L^{p(\cdot)}(\mathbb{R}^n)\), it is proved that if \(\text{ess\,sup}_{x\in \mathbb{R}^n} p(x)
Harjulehto, Petteri, Hästö, Peter
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Rough Hausdorff operators on Lebesgue spaces with variable exponent

Annals of Functional Analysis, 2023
Ziwei Li, Jiman Zhao
semanticscholar   +1 more source

Composition operators on variable exponent Lebesgue spaces

Analysis Mathematica
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Bajaj, D. S., Datt, G.
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Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent

Rendiconti del Circolo Matematico di Palermo, 2010
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On Compactness of Operators in Variable Exponent Lebesgue Spaces

2010
We give a short discussion of known statements on compactness of operators in variable exponent Lebesgue spaces L p (·)(Ω, ϱ) and show that the existence of a radial integrable decreasing dominant of the kernel of a convolution operator guarantees its compactness in the space L p (·)(Ω, ϱ) whenever the maximal operator is bounded in this space, where ...
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