[PDF] Top 20 THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES
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THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES
... the variable exponent Lebesgue spaces is not invariant with respect to translations, convolution operators do not behave well in the ... See full document
14
Sobolev’s inequality for Riesz potentials of functions in generalized Morrey spaces with variable exponent attaining the value 1 over non doubling measure spaces
... The boundedness of fractional integral operators on Morrey spaces is known as the Adams theorem. Recently, many endpoint results have been obtained for this theorem, and in this paper we extend them to generalized ... See full document
19
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 ... See full document
15
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 ...of variable ... See full document
14
Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces
... two variable exponents p ( ) ( ) ⋅ , q ⋅ ...the variable ex- ponents Lebesgue spaces, the boundedness of the fractional integral operator and their commu- tator generated by Lipschitz function ... See full document
19
Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
... the variable exponent Sobolev spaces coincides with a H¨older continuous Sobolev function outside a small exceptional ...of Lebesgue measure and a ... See full document
18
Bilinear Multipliers of Weighted Lorentz Spaces and Variable Exponent Lorentz Spaces
... Throughout this paper we will work on R n with Lebesgue measure dx. We denote by C c ∞ ( R n ), C c ( R n ) and S ( R n ) the space of infinitely differentiable complex-valued functions with compact support on R n ... See full document
14
Weighted kernel operators in variable exponent amalgam spaces
... variable exponent Lebesgue spaces defined on Euclidean spaces was investigated by many authors (see, ...p(·) spaces was studied in ... See full document
27
OSCILLATORY INTEGRAL OPERATORS AND THEIR COMMUTATORS IN MODIFIED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
... The variable exponent analysis is a popular topic which attract many re- ...the Lebesgue and Sobelev spaces with variable order of integrability and operator theory in these ...these ... See full document
16
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 ... See full document
9
Boundedness of fractional integrals on weighted Herz spaces with variable exponent
... function spaces is one of the important prob- lems not in harmonic analysis but also in potential theory and in partial differential ...of variable exponent analysis the we can list up bound- edness ... See full document
15
A note on fractional integral operators on Herz spaces with variable exponent
... the Lebesgue spaces with variable exponent, while more results can be found in [, ] and the refer- ences ...The variable exponent Lebesgue space L p(·) () is defined ... See full document
11
Navier-Stokes equations with variable viscosity in variable exponent spaces of Clifford-valued functions
... of variable exponent Lebesgue spaces of Clifford-valued ...with variable viscosity in the setting of variable exponent spaces of Clifford-valued ... See full document
17
Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth
... After these technical adjustments we are ready for our main results. Solutions are known to be continuous and hence it is natural to ask whether supersolutions are semi- continuous. Indeed, using Harnack-type estimates ... See full document
20
Multilinear fractional integral operators on central Morrey spaces with variable exponent
... The study of multilinear integral operators was motivated not only as the generalization of the theory of linear ones but also their natural appearance in analysis. It has increas- ing attention and much development in ... See full document
23
A UNIFORM ABSOLUTE CONTINUITY OF INTEGRAL RESULT IN $L^{p\left(x\right)}$
... of variable exponent Lebesgue and Sobolev spaces is in active develop- ment at present, and has found many important applications (see for example, the books [1] and [2], and the references ... See full document
6
Proximinality in Banach space valued Musielak Orlicz spaces
... Musielak-Orlicz spaces include many spaces as special spaces, such as Lebesgue spaces, weighted Lebesgue spaces, variable Lebesgue spaces and Orlicz ... See full document
9
Potential Operators in Variable Exponent Lebesgue Spaces: Two Weight Estimates
... in variable exponent Lebesgue spaces defined on quasimetric measure spaces X, d, μ are ...of Lebesgue spaces are constants, then most of the derived conditions are ... See full document
27
A NORM INEQUALITY FOR FUNCTIONS OF $L^{p\left( .\right) }\left(\Omega \right)$ SPACES
... The variable Lebesgue spaces (and variable exponent Sobolev spaces) have gained great importance in analysis and have begun to play an important role in a wide variety of ... See full document
8
On bases from perturbed system of exponents in Lebesgue spaces with variable summability exponent
... Many authors have investigated the basicity properties of system of exponents of the form (), beginning with the well-known result of Paley and Wiener [] on Riesz basicity. Some of the results in this direction ... See full document
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