Results 1 to 10 of about 14,631 (194)

A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

open access: yesOpen Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
doaj   +2 more sources

Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, the authors establish the sharp maximal estimates for the multilinear iterated commutators generated by B M O $BMO$ functions and multilinear singular integral operators with generalized kernels.
Yan Lin, Nan Zhang
doaj   +2 more sources

Littlewood-Paley Operators on Morrey Spaces with Variable Exponent [PDF]

open access: yesThe Scientific World Journal, 2014
By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g ...
Shuangping Tao, Lijuan Wang
doaj   +2 more sources

Approximation problems in the Lebesgue spaces with variable exponent

open access: yesJournal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniyal M Israfilov, Ahmet Testici
exaly   +4 more sources

Relatively compact sets in variable-exponent Lebesgue spaces

open access: yesBanach Journal of Mathematical Analysis, 2018
The authors study totally bounded sets in variable Lebesgue spaces over metric measure spaces with doubling measure. Let \((X,\varrho,\mu)\) be a metric measure space equipped with a metric \(\varrho\) and a doubling measure \(\mu\) and \(p:X\to(0,\infty]\) be a measurable map such that \(p_-:=\text{ess\,inf}_{x\in X}p(x)>0\) and \(p_+:=\mathrm{ess ...
Bandaliyev R., Górka P.L.
exaly   +5 more sources

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

open access: yesDemonstratio Mathematica, 2017
The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent.
Jafarov Sadulla Z.
doaj   +3 more sources

On Some Properties of Convolutions in Variable Exponent Lebesgue Spaces

open access: yesComplex Analysis and Operator Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniyal
exaly   +5 more sources

Lebesgue spaces with variable exponent on a probability space

open access: yesHiroshima Mathematical Journal, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Local grand variable exponent Lebesgue spaces

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2023
We introduce local grand variable exponent Lebesgue spaces, where the variable exponent Lebesgue space is “aggrandized” only at a given closed set F of measure zero.
Rafeiro, Humberto, Samko, Stefan
openaire   +2 more sources

Variable exponent Bochner–Lebesgue spaces with symmetric gradient structure [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2021
The authors consider an initial-boundary value problem driven by a nonlinear monotone operator, depending on the symmetric part of the gradient, having variable exponent growth with a lower order term and suitable data. To study the existence of solutions for the problem, the authors introduce a functional framework built upon variable \(\log\)-Hölder ...
Kaltenbach, Alex, Růžička, Michael
openaire   +3 more sources

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