Results 71 to 80 of about 940,591 (161)

Boundedness of Singular Integral Operator in Variable Exponent Lebesgue Spaces

Mathematics
This manuscript establishes the boundedness results for a class of singular integral operators to a more general framework by imposing conditions on the Hardy–Littlewood maximal function. We establish the results where we construct a suitable range space
Muhammad Nasir, Fehaid Salem Alshammari
doaj   +1 more source

Hardy-littlewood maximal operators in Sobolev spaces

, 2020
Bu tezin amacı Sobolev uzaylarında maksimal operatörlerin özelliklerini incelemektir. Birinci bölümde, önce Sobolev uzayının ve maksimal fonksiyonun öneminden söz ediyoruz. Sonra dikkatimizi maksimal operatörün Sobolev uzayındaki sınırlılığına veriyoruz.
Teğin, Nihat
core   +1 more source

Bessel–Riesz Operator in Variable Lebesgue Spaces L^p(·)(${\mathbb{R}}_{+}$)

Axioms
This paper investigates the Bessel–Riesz operator within the framework of variable Lebesgue spaces. We extend existing results by establishing boundedness under more general conditions.
Muhammad Nasir, Fehaid Salem Alshammari, Ali Raza   +2 more
doaj   +1 more source

Fréchet Envelopes of Nonlocally Convex Variable Exponent Hörmander Spaces

Abstract and Applied Analysis, 2016
We show that the dual Bp·locΩ′ of the variable exponent Hörmander space Bp(·)loc(Ω) is isomorphic to the Hörmander space B∞c(Ω) (when the exponent p(·) satisfies the conditions ...
Joaquín Motos, María Jesús Planells, César F. Talavera   +2 more
doaj   +1 more source

Maximal operator in variable exponent Morrey spaces

, 2008
The boundedness of the Hardy-Littlewood maximal operator on the variable Morrey spaces defined over a bounded open set in R^n is proved, under the assumption of the local Holder continuity of the exponent, completing the result obtained by L.
FIORENZA, ALBERTO
core  

On the sharpness of some quantitative Muckenhoupt–Wheeden inequalities

Comptes Rendus. Mathématique
In the recent work [Cruz-Uribe et al. (2021)] it was obtained that \[ |\lbrace x\in {\mathbb{R}^d}:w(x)|G(fw^{-1})(x)|>\alpha \rbrace |\lesssim \frac{[w]_{A_1}^2}{\alpha }\int _{{\mathbb{R}^d}}|f|\,\mathrm{d} x \] both in the matrix and scalar settings ...
Lerner, Andrei K., Li, Kangwei, Ombrosi, Sheldy, Rivera-Ríos, Israel P.   +3 more
doaj   +1 more source

A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]

Fract Calc Appl Anal, 2023
Lan K, Webb JRL.
europepmc   +1 more source

Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces

Open Mathematics
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj   +1 more source

Weighted Lorentz Spaces, Variable Exponent Analysis, and Operator Extensions

Axioms
We develop novel extensions in the theory of weighted Lorentz spaces. In particular, we generalize classical results by introducing variable-exponent Lorentz spaces, establish sharp constants and quantitative bounds for maximal operators, and extend the ...
Saeed Hashemi Sababe, Ismail Nikoufar
doaj   +1 more source

Boundedness of Integral Operator of Generalized Bessel–Riesz Kernel in Variable Exponent Function Spaces

Mathematics
In this manuscript, we introduce a class of measurable functions A(R+), which is utilized to construct a generalized Bessel–Riesz kernel and the corresponding generalized Bessel–Riesz operator.
Ali Raza, Fehaid Salem Alshammari, Muhammad Nasir   +2 more
doaj   +1 more source