Results 21 to 30 of about 18,802 (182)

Boundedness of Singular Integral Operators with Operator-Valued Kernels and Maximal Regularity of Sectorial Operators in Variable Lebesgue Spaces

Journal of Function Spaces, 2020
This paper is devoted to the maximal regularity of sectorial operators in Lebesgue spaces Lp⋅ with a variable exponent. By extending the boundedness of singular integral operators in variable Lebesgue spaces from scalar type to abstract-valued type, the ...
Qinghua Zhang, Yueping Zhu, Feng Wang
doaj   +1 more source

The bounded approximation property of variable Lebesgue spaces and nuclearity [PDF]

, 2018
In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, study the concept of nuclearity on such spaces and apply it to trace formulae such as the Grothendieck-Lidskii formula.
Delgado, Julio, Ruzhansky, Michael
core   +2 more sources

Hardy type inequality in variable Lebesgue spaces [PDF]

, 2008
We prove that in variable exponent spaces $L^{p(\cdot)}(\Omega)$, where $p(\cdot)$ satisfies the log-condition and $\Omega$ is a bounded domain in $\mathbf R^n$ with the property that $\mathbf R^n \backslash \bar{\Omega}$ has the cone property, the ...
Rafeiro, Humberto, Samko, Stefan
core   +3 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
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Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian

Advances in Nonlinear Analysis, 2020
In the present paper, we consider the nonlinear periodic systems involving variable exponent driven by p(t)-Laplacian with a locally Lipschitz nonlinearity.
Chen Peng, Tang Xianhua
doaj   +1 more source

Local Characterizations of Besov and Triebel-Lizorkin Spaces with Variable Exponent

Journal of Function Spaces, 2014
We introduce new Besov and Triebel-Lizorkin spaces with variable integrable exponent, which are different from those introduced by the second author early.
Baohua Dong, Jingshi Xu
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On a class of nonhomogenous quasilinear problems in Orlicz-Sobolev spaces [PDF]

Opuscula Mathematica, 2012
We study the nonlinear boundary value problem \(-div ((a_1(|\nabla u(x)|)+a_2(|\nabla u(x)|))\nabla u(x))=\lambda |u|^{q(x)-2}u-\mu |u|^{\alpha(x)-2}u\) in \(\Omega\), \(u = 0\) on \(\partial \Omega\) , where \(\Omega\) is a bounded domain in \(\mathbb{R}
Asma Karoui Souayah
doaj   +1 more source

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]

, 2009
In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo, Pradolini, Gladis, Salinas, Oscar   +2 more
core   +3 more sources

Linear functionals on variable exponent Bochner–Lebesgue spaces

Rendiconti Lincei, Matematica e Applicazioni, 2019
We characterize the linear functionals on variable exponent Bochner–Lebesgue spaces in terms of the variable exponent Riesz bounded variation spaces for vector measures, which are introduced in this paper.
Castillo, René Erlín, Guzmán, Oscar M., Rafeiro, Humberto   +2 more
openaire   +1 more source

Generalized Lebesgue Points for Hajłasz Functions

Journal of Function Spaces, 2018
Let X be a quasi-Banach function space over a doubling metric measure space P. Denote by αX the generalized upper Boyd index of X.
Toni Heikkinen
doaj   +1 more source