Results 41 to 50 of about 295,908 (279)

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

open access: yesJournal of Inequalities and Applications, 2016
Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
doaj   +1 more source

Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative

open access: yesJournal of Function Spaces, 2021
In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces.
Leonardo Fabio Chacón-Cortés   +1 more
doaj   +1 more source

Variable exponent Hardy spaces associated with discrete Laplacians on graphs

open access: yes, 2017
In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions.
Almeida, Víctor   +3 more
core   +1 more source

Variable λ-Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators

open access: yesJournal of Mathematics, 2022
This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ-central bounded mean ...
Amjad Hussain, Muhammad Asim, Fahd Jarad
doaj   +1 more source

Molecular Characterizations and Dualities of Variable Exponent Hardy Spaces Associated with Operators

open access: yes, 2015
Let $L$ be a linear operator on $L^2(\mathbb R^n)$ generating an analytic semigroup $\{e^{-tL}\}_{t\ge0}$ with kernels having pointwise upper bounds and $p(\cdot):\ \mathbb R^n\to(0,1]$ be a variable exponent function satisfying the globally log-H\"older
Yang, Dachun, Zhuo, Ciqiang
core   +1 more source

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

open access: yes, 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   +2 more
core   +3 more sources

Ground state solution for a class of supercritical nonlocal equations with variable exponent

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we obtain the existence of positive critical point with least energy for a class of functionals involving nonlocal and supercritical variable exponent nonlinearities by applying the variational method and approximation techniques. We apply
Xiaojing Feng
doaj   +1 more source

From a unstable periodic orbit to Lyapunov exponent and macroscopic variable in a Hamiltonian lattice : Periodic orbit dependencies

open access: yes, 2007
We study which and how a periodic orbit in phase space links to both the largest Lyapunov exponent and the expectation values of macroscopic variables in a Hamiltonian system with many degrees of freedom.
Goto, Shin-itiro
core   +1 more source

A mass transportation approach for Sobolev inequalities in variable exponent spaces [PDF]

open access: yes, 2015
In this paper we provide a proof of the Sobolev-Poincar\'e inequality for variable exponent spaces by means of mass transportation methods. The importance of this approach is that the method is exible enough to deal with different inequalities.
Bonder, Julián Fernández   +2 more
core   +2 more sources

Boundedness for commutators of fractional integrals on Herz-Morrey spaces with variable exponent

open access: yes, 2013
In this paper, some boundedness for commutators of fractional integrals are obtained on Herz-Morrey spaces with variable exponent applying some properties of varible exponent and $\BMO$ function.Comment: In 2013, it is accepted by Kyoto Journal of ...
Wu, Jianglong
core   +1 more source

Home - About - Disclaimer - Privacy