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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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On the Boundedness of the Generalized Translation Operator on Variable Exponent Lebesgue Spaces
Acta Applicandae Mathematicae, 2021Ismail Ekincioglu +2 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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Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces
2010Some corollaries of Lebesgue’s regular points which are useful in the theory ofoptimal control for distributed parameter systems are proved.
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Sobolev‐type inequalities for potentials in grand variable exponent Lebesgue spaces
Mathematische Nachrichten, 2019David E Edmunds +2 more
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Integrability of maximal functions for generalized Lebesgue spaces with variable exponent
Mathematische Nachrichten, 2008Takao Ohno, Tetsu Shimomura
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Bn -maximal operator and Bn -singular integral operators on variable exponent Lebesgue spaces
Mathematica Slovaca, 2020Ismail Ekincioglu +2 more
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