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Composition operators on variable exponent Lebesgue spaces
We study composition operators between variable exponent Lebesgue spaces and characterize boundedness and compactness of the composition operators on...
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Weighted composition operators on variable exponent Lebesgue spaces
In this paper, we characterize the boundedness of weighted composition operators, induced by measurable transformations and complex-valued measurable...
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On the Boundedness of Sublinear Operators on Grand Herz–Hardy Spaces with Variable Exponent
In this paper, grand Herz–Hardy spaces with variable exponent is introduced. We prove the atomic decomposition of grand Herz–Hardy spaces with...
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Weighted composition operator on Gamma spaces with variable exponent
In a self contained presentation we discuss the Gamma functions spaces with variable exponent. As an application we investigate the boundedness,...
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Rough Hausdorff operators on Lebesgue spaces with variable exponent
In this paper, we study rough Hausdorff operators on variable exponent Lebesgue spaces in the setting of the Heisenberg group. We prove the...
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Riesz–Zygmund Means and Approximation in Variable Exponent Grand Spaces
In the paper, the estimates of generalized modulus of smoothness and best approximation in variable exponent grand Lebesgue spaces in terms of norms...
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Lebesgue spaces with variable exponent: some applications to the Navier–Stokes equations
In this article we study some problems related to the incompressible 3D Navier–Stokes equations from the point of view of Lebesgue spaces of variable...
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Direct Estimates of the Rate of Approximation by the Kantorovich Operator in Variable Exponent Lebesgue Spaces
We establish two direct estimates by K -functionals of the rate of approximation by the Kantorovich operators in variable exponent Lebesgue spaces....
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Approximation in Variable Exponent Spaces and Growth of Norms of Trigonometric Polynomials
Using a variant of Nikol’skii–Stechkin inequality we investigate the approximation problems in Holder type spaces connected with variable exponent...
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Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space
In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces
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On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications
We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of...
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Boundedness of Operators of Harmonic Analysis in Grand Variable Exponent Morrey Spaces
The boundedness of the Hardy–Littlewood maximal, Calderón–Zygmund singular and fractional integral operators in grand variable exponent Morrey spaces...
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On the Variable Exponent Riemann Boundary Value Problem for Liapunov Open Curve
In this paper, we first study the Riemann boundary value problem for Liapunov open curve in variable exponent space, we supplement the open curve as...
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Grand Herz–Morrey Spaces with Variable Exponent
AbstractIn this article, we prove the boundedness of an intrinsic square function and sublinear operators under appropriate assumptions about the...
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A characterization of the rate of approximation of Kantorovich sampling operators in variable exponent Lebesgue spaces
We establish a direct and a matching two-term converse estimate by a K -functional and a modulus of smoothness for the rate of approximation by...
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Some Results for a von Kármán Equation with Variable Exponent Modeling Suspension Bridges
A von Kármán equation with variable exponent is considered. The equation with partial free boundary conditions can be viewed as a mathematical model...
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The Boundedness of Commutators of Sublinear Operators on Herz Triebel–Lizorkin Spaces with Variable Exponent
In this paper, the authors first discuss the characterization of Herz Triebel–Lizorkin spaces with variable exponent via two families of operators....
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On Numerical Approximation of Diffusion Problems Governed by Variable-Exponent Nonlinear Elliptic Operators
We highlight the interest and the limitations of the L 1 -based Young measure technique for studying convergence of numerical approximations for...
