Results 21 to 30 of about 14,631 (194)

Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent

open access: yesJournal of Numerical Analysis and Approximation Theory, 2021
In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
doaj   +7 more sources

Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [PDF]

open access: yes, 2015
We prove optimal integrability results for solutions of the p(x)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L1 to variable exponent weak Lebesgue ...
A Almeida   +28 more
core   +2 more sources

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]

open access: yes, 2009
In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo   +2 more
core   +3 more sources

Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces

open access: yesJournal of Function Spaces and Applications, 2012
We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and ...
Takahiro Noi
doaj   +1 more source

On Some Properties of Integral-Type Operator in Weighted Herz Spaces with Variable Exponent Lebesgue Spaces

open access: yesUniversal Journal of Mathematics and Applications, 2019
For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue  spaces and Sobolev spaces.
Lütfi Akın
doaj   +1 more source

Interplay of Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable exponent Lebesgue spaces [PDF]

open access: yes, 2015
Wiener-Hopf plus Hankel and Wiener-Hopf minus Hankel operators in both frameworks of standard and variable exponent Lebesgue spaces are considered in this paper.
Castro, L. P., Silva, A. S.
core   +1 more source

On Variable Exponent Amalgam Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
doaj   +1 more source

Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces

open access: yesAbstract and Applied Analysis, 2013
We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
Hui-Ling Wu, Jia-Cheng Lan
doaj   +1 more source

Linear functionals on variable exponent Bochner–Lebesgue spaces

open access: yesRendiconti Lincei, Matematica e Applicazioni, 2019
We characterize the linear functionals on variable exponent Bochner–Lebesgue spaces in terms of the variable exponent Riesz bounded variation spaces for vector measures, which are introduced in this paper.
Castillo, René Erlín   +2 more
openaire   +1 more source

On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]

open access: yesMathematica Moravica, 2023
In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes ...
Jafarov Sadulla Z.
doaj  

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