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One-Sided Operators in Grand Variable Exponent Lebesgue Spaces
Zeitschrift für Analysis und ihre Anwendungen, 2018The boundedness of one-sided integral operators in grand variable exponent Lebesgue spaces unifying grand Lebesgue spaces and variable exponent Lebesgue spaces are established. The conditions on variable exponent is weaker than the log-Hölder continuity condition.
Kokilashvili, Vakhtang +1 more
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Notes on commutator on the variable exponent Lebesgue spaces
Czechoslovak Mathematical Journal, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variable Exponent Lebesgue-Space Inversion for Cross-Borehole Subsurface Imaging
URSI Radio Science Letters, 2020A novel quantitative electromagnetic imaging method for subsurface prospecting is proposed in this article, exploiting the potentialities of the regularization theory in Lebesgue spaces with variable exponents. The described technique has been preliminarily validated by means of numerical simulations, where scattered field data are collected in a ...
Estatico, Claudio +3 more
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Lebesgue points in variable exponent spaces
2004The 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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Iterated maximal functions in variable exponent Lebesgue spaces
Manuscripta Mathematica, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Harjulehto, Petteri +3 more
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Weighted composition operators on variable exponent Lebesgue spaces
Advances in Operator TheoryzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Datt G., Bajaj D. S., Fiorenza A.
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Hardy-type Operators in Variable Exponent Lebesgue Spaces
2016In this chapter we consider the Hardy-type operators \({H}^{\alpha,\mu} f(x) = {x}^{\alpha(x)+\mu(x)-1} \int\limits_{0}^{x} \frac{{f}(y) {dy}} {y^{\alpha(y)}}, \, \, \mathcal{H}_{\beta,\mu}f(x) = {x}^{\beta(x)+\mu(x)} \int\limits_{x}^{\infty} \frac{{f}(y) {dy}}{y^{\beta(y)+1}},\) with variable exponents, in variable exponent Lebesgue spaces.
Vakhtang Kokilashvili +3 more
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Bochner representable operators on variable exponent Lebesgue spaces
Zeitschrift für Analysis und ihre AnwendungenLet L^{p(\cdot)}(\Omega) be a variable exponent Lebesgue space and X denote a Banach space. It is shown that a bounded linear operator
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Lebesgue and Sobolev Spaces with Variable Exponents
2011Diening, Lars +3 more
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