Variable exponent Lebesgue space
THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES
... Abstract: In this paper, we study a capacity theory based on a definition of a Riesz potential in the Euclidean space. Also, we define the Riesz (α, p(.))- capacity and discuss the properties of the capacity in ...
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A UNIFORM ABSOLUTE CONTINUITY OF INTEGRAL RESULT IN $L^{p\left(x\right)}$
... classic Lebesgue spaces are not transferred to the variable exponent ...the variable exponent Lebesgue space is no longer translation ...
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Proximinality in Banach space valued Musielak Orlicz spaces
... as Lebesgue spaces, weighted Lebesgue spaces, variable Lebesgue spaces and Orlicz spaces; see ...decades, variable exponent function spaces, such as Lebesgue, Sobolev, ...
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The Boundedness of Fractional Integral with Variable Kernel on Variable Exponent Herz Morrey Spaces
... introduced variable exponent Lebesgue and Sobolev spaces as a new method for dealing with nonlinear Dirichet boundary value ...Then, variable problem and differential equation with ...
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Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces
... introduced variable exponents Lebesgue and Sobolev spaces as a new method for dealing with nonlinear Dirichet boundary value ...the variable exponent function space and its applications ...
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Locally Defined Operators and Locally Lipschitz Composition Operators in the Space WBVp(·)([a, b])
... to variable exponents is not ...mentioned variable exponent Lebesgue spaces as an example of more general spaces he considered, see Nakano [4] ...
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Multilinear Fourier multipliers on variable Lebesgue spaces
... on variable exponent Lebesgue spaces, and we prove the localization theorem of multipliers on variable exponent Lebesgue ...weighted variable Lebesgue spaces and ...
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The Space of Bounded p(·) Variation in Wiener’s Sense with Variable Exponent
... standard Lebesgue and Sobolev spaces demonstrated their limitations in ...with exponent growth is a new research field and it reflects a new kind of physical ...the variable Lebesgue ...in ...
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Modular uniform convexity of Lebesgue spaces of variable integrability.
... these spaces were brought into the center stage of mathematical research as they were realized to be the natural solution space for partial differential equations with non-standard growth. The first systematic ...
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Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
... complex-valued functions with compact support on R n and the space of infinitely differ- entiable complex-valued functions on R n rapidly decreasing at infinity, respectively. For ≤ p ≤ ∞, L p (R n ) denotes the ...
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Potential Operators in Variable Exponent Lebesgue Spaces: Two Weight Estimates
... the exponent p of the space is constant. We assume that the exponent p satisfies the local log-H ¨older continuity condition, and if the diameter of X is infinite, then we suppose that p is constant ...
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Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
... 2]. Variable exponent Sobolev spaces have been used in the modeling of electrorheological fluids, see, for example, [3–7] and references ...new variable exponent model for image restoration ...
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OSCILLATORY INTEGRAL OPERATORS AND THEIR COMMUTATORS IN MODIFIED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
... Singular operators within the framework of the spaces with variable expo- nents were studied in [7]. From Theorem 4.8 and Remark 4.6 of [7] and the known results on the boundedness of the maximal operator, we have ...
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The stability of the anisotropic parabolic equation with the variable exponent
... Different from the usual evolutionary p(x)-Laplacian equation, the anisotropic parabolic equation is considered in this paper. Due to the anisotropic character, it admits that there are different diffusion coefficients ...
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On bases from cosines in Lebesgue spaces with variable summability index
... In connection with applications in mechanics and theoretical physics in recent years there is a great interest in studying different problems in Lebesgue spaces with variable summability index. For many ...
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Dimension theory and multifractal analysis via thermodynamic formalism
... A measure is yet another tool for distinguishing among the sets of the same metric space according to their numerical ‘size’. For a measure we require that if we group together a countable number of sets in a ...
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Weighted kernel operators in variable exponent amalgam spaces
... For example, Hardy operators, Hardy-Littlewood maximal operators, fractional integral operators, fractional maximal operators are admissible on R (see []). Carton-Leburn, Heinig and Hoffmann [] established two ...
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Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions
... of variable exponent Lebesgue spaces of Clifford- valued functions with applications to the Stokes equations, the Navier-Stokes equations and the A-Dirac equations DA(Du) = ...with variable ...
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Existence of positive solutions for variable exponent elliptic systems
... The study of diferential equations and variational problems with variable exponent has been a new and interesting topic. It arises from nonlinear elasticity theory, electrorheo- logical fluids, etc., ...
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Infinitely Many Periodic Solutions for Variable Exponent Systems
... variable exponent problems, variable exponent problems are more complicated than constant exponent problems, and many results and methods for constant exponent problems are ...
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