Results 11 to 20 of about 2,194,826 (290)

On the structure of variable exponent spaces [PDF]

Indagationes Mathematicae, 2020
The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied.
Julio Flores, Francisco L. Hernández, César Ruiz, Mauro Sanchiz   +3 more
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Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces [PDF]

Journal 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   +2 more sources

The discrete Hardy type variable exponent inequality with decreasing exponent [PDF]

Acta et Commentationes Universitatis Tartuensis de Mathematica
The purpose of this note is to obtain the discrete Hardy type variable exponent inequality for the decreasing exponent.
René Castillo, Hector Chaparro, Babar Sultan   +2 more
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Variable Exponent Besov–Morrey Spaces [PDF]

Journal of Fourier Analysis and Applications, 2020
In this paper we introduce Besov-Morrey spaces with all indices variable and study some fundamental properties. This includes a description in terms of Peetre maximal functions and atomic and molecular decompositions. This new scale of non-standard function spaces requires the introduction of variable exponent mixed Morrey-sequence spaces, which in ...
Almeida, Alexandre, Caetano, António
openaire   +6 more sources

Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

Journal of Function Spaces, 2019
In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
doaj   +2 more sources

Variable exponent trace spaces [PDF]

Studia Mathematica, 2007
Diening L, Hästö P. Variable exponent trace spaces. Studia Mathematica.
Diening, Lars, Hästö, Peter
openaire   +2 more sources

On Necessary Condition for the Variable Exponent Hardy Inequality [PDF]

Journal of Function Spaces and Applications, 2012
We derive a necessary condition for exponent functions 𝑝,𝛽 such that the variable exponent Hardy inequality ‖𝑥𝛽(𝑥)−1∫𝑥0𝑓(𝑡)𝑑𝑡‖𝐿𝑝(.)(0,𝑙)≤𝐶‖𝑥𝛽(𝑥)𝑓‖𝐿𝑝(.)(0,𝑙) holds.
Aziz Harman
doaj   +2 more sources

Nonlinear parabolic problems with variable exponent and L1-data

Electronic Journal of Differential Equations, 2017
In this article, we prove the existence and uniqueness of entropy solutions to nonlinear parabolic equation with variable exponent and $L^{1}-$data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent.
Stanislas Ouaro, Arouna Ouedraogo
doaj   +1 more source

On some differential equations involving a new kind of variable exponents

Electronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper, we are concerned with some new first order differential equation defined on the whole real axis $\mathbb{R}.$ The principal part of the equation involves an operator with variable exponent $p$ depending on the variable $x \in \mathbb{R ...
Sami Aouaoui
doaj   +1 more source

A variable exponent boundedness of the Steklov operator [PDF]

Mathematical Inequalities & Applications, 2021
Summary: In this paper, a sufficiency condition for boundedness of the Steklov operator \[ S_hf(x)=\frac{1}{h}\int^{x+h}_xf(t)dt,\quad h>0 \] has been proved in variable exponent Lebesgue space \(L^{p(.)}(0,\infty)\). Here an infinite interval \((0,\infty)\) has been considered with a new decay condition on infinity. A finite interval \([0,2\pi]\) case
openaire   +3 more sources