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Variable Exponent

Multilinear fractional integral operators on central Morrey spaces with variable exponent

Multilinear fractional integral operators on central Morrey spaces with variable exponent

... of variable exponent in ...with variable exponent and gave the boundedness of some operators in ...on variable function spaces, ...on variable exponent function spaces, ...

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Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces

Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces

... 10.1186/1029-242X-2014-476 Cite this article as: Kulak and Gürkanlı: Bilinear multipliers of weighted Wiener amalgam spaces and variable exponent Wiener amalgam spaces.[r] ...

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Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces

Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces

... Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces Öznur Kulak* and A Turan Gürkanlı *.. Correspondence: [email protected] Department of Mathematics, [r] ...

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Potential Operators in Variable Exponent Lebesgue Spaces: Two Weight Estimates

Potential Operators in Variable Exponent Lebesgue Spaces: Two Weight Estimates

... the variable exponent Lebesgue spaces; Section 2 is devoted to the sufficient governing two-weight inequalities for Hardy- type operators defined on quasimetric measure spaces, while in Section 3 we study the ...

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Existence results for a variable exponent elliptic problem via topological method

Existence results for a variable exponent elliptic problem via topological method

... The rest of this paper is organized as follows. In Section , we present some necessary preliminary knowledge on variable exponent Sobolev spaces. In Section , we shall use a nonlinear alternative of ...

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Bilinear Multipliers of Weighted Lorentz Spaces and Variable Exponent Lorentz Spaces

Bilinear Multipliers of Weighted Lorentz Spaces and Variable Exponent Lorentz Spaces

... [9] R. Hunt, D. S. Kurtz. The Hardy-Littlewood maximal func- tion on L (p, 1), Indiana Univ. Math. J., 32, 1, 155-158, 1983. [10] ¨ O. Kulak, A. T. G¨urkanlı. Bilinear multipliers of weighted Lebesgue spaces and ...

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The Space of Bounded p(·) Variation in Wiener’s Sense with Variable Exponent

The Space of Bounded p(·) Variation in Wiener’s Sense with Variable Exponent

... with variable exponent if and only if it is the composition of a bounded nondecreasing function with a Hölderian function with variable exponent equal to ...

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A note on fractional integral operators on Herz spaces with variable exponent

A note on fractional integral operators on Herz spaces with variable exponent

... Ramseyer, Salinas and Viviani introduced the following function space, which can be viewed as the variable exponent counterpart of Lipschitz space defined by Peetre in []. Definition  ([]) Let  < β ...

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Some functional inequalities in variable exponent spaces with a more generalization of uniform continuity condition

Some functional inequalities in variable exponent spaces with a more generalization of uniform continuity condition

... is studied. We show that the exponent p(.) for which these modular inequalities hold must have constant oscillation. Also we study the boundedness of integral operator T f (x) = R K(x, y)f(x)dy on L p(.) when the ...

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Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

... with variable exponent and prove the boundedness of fractional integrals on those spaces under proper assumptions on weights and ...with variable ex- ponent in the recent preprints [, ...

15

A multi-frame super-resolution method based on the variable-exponent nonlinear diffusion regularizer

A multi-frame super-resolution method based on the variable-exponent nonlinear diffusion regularizer

... In this work, the authors have proposed a multi-frame super-resolution method that is based on the diffusion-driven regularization functional. The new regularizer contains a variable exponent that ...

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Existence of Solutions and Nonnegative Solutions for Prescribed Variable Exponent Mean Curvature Impulsive System Initialized Boundary Value Problems

Existence of Solutions and Nonnegative Solutions for Prescribed Variable Exponent Mean Curvature Impulsive System Initialized Boundary Value Problems

... with variable exponent growth conditions are more complex than those with constant exponent growth conditions, many methods and results for the latter are invalid for the former; for example, if Ω ⊂ ...

13

HARDY OPERATORS IN THE LOCAL "COMPLEMENTARY" GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES

HARDY OPERATORS IN THE LOCAL "COMPLEMENTARY" GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES

... [6] L. Diening, P. H¨ ast¨ o, A. Nekvinda, Open problems in variable exponent Lebesgue and Sobolev spaces, In: ’Function Spaces, Differential Oper- ators and Nonlinear Analysis’, Proc. of the Conference ...

10

Boundedness of Littlewood Paley operators and their commutators on Herz Morrey spaces with variable exponent

Boundedness of Littlewood Paley operators and their commutators on Herz Morrey spaces with variable exponent

... Inspired by the above works, in this paper we will consider the vector-valued inequalities of the Littlewood-Paley operators and their m-order commutators on Herz-Morrey spaces with variable exponent. To do ...

17

On the prescribed variable exponent mean curvature impulsive system boundary value problems

On the prescribed variable exponent mean curvature impulsive system boundary value problems

... In this section, we will discuss the existence of solutions of variable exponent mean cur- vature impulsive system periodic-like boundary value problems, i.e. the existence of solu- tions of ()-(). In ...

29

Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent

Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent

... We now discuss the main plan of the paper. In Section , we review some preliminaries concerning the variable exponent Sobolev spaces and introduce a family of regularized problems for problem (.). We ...

21

Boundedness for Commutators of Calderón Zygmund Operator on Herz Type Hardy Space with Variable Exponent

Boundedness for Commutators of Calderón Zygmund Operator on Herz Type Hardy Space with Variable Exponent

... variable exponent. M. Luzki [2] introduced the Herz space with variable exponent and proved the boundedness of some sublinear operator on these ...with variable exponent by ...

11

THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES

THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES

... Nuutinen and Silvestre defined a Riesz capacity in metric spaces in [13]. They studied the fundamental properties of this capacity such as monotonicity, convergence results, relationship between the Hausdorff measure. ...

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Infinitely Many Periodic Solutions for Variable Exponent Systems

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 ...

10

The Boundedness of Fractional Integral with Variable Kernel on Variable Exponent Herz Morrey Spaces

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 variable ...

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